Math 111 - Oct 5, 2011

3.4 Last time:

Learn Math Equation:(| x)| = a splits to Learn Math Equation: x = a or Learn Math Equation: x = - a if Learn Math Equation: as> 0 (otherwise no solution)

Learn Math Equation:(| x)| < a splits to Learn Math Equation: - a < x < a if Learn Math Equation: a > 0 (otherwise no solution)

Today

Learn Math Equation:(| x)| > a splits to Learn Math Equation: x > a or Learn Math Equation: x < - a if Learn Math Equation: a > 0 (otherwise "all real numbers").

Think Learn Math Equation:(| x)| > 4...

Learn Math Graph:442 168 -7.735000000000002 1.0 7.735000000000002 -2.94 1.0 2.94 g false Freehand 163 -6.6150002 0.07 -6.65 0.14 -6.685 0.14 -6.685 0.175 -6.685 0.175 -6.685 0.21000001 -6.685 0.21000001 -6.685 0.245 -6.685 0.245 -6.685 0.245 -6.685 0.28 -6.685 0.28 -6.685 0.28 -6.685 0.28 -6.65 0.28 -6.65 0.315 -6.6150002 0.315 -6.5800004 0.315 -6.545 0.35 -6.51 0.35 -6.44 0.35 -6.405 0.38500002 -6.335 0.38500002 -6.2650003 0.38500002 -6.195 0.42000002 -6.125 0.42000002 -6.0550003 0.455 -5.985 0.455 -5.88 0.49 -5.8100004 0.49 -5.7050004 0.52500004 -5.6000004 0.52500004 -5.53 0.56 -5.425 0.56 -5.32 0.595 -5.2500005 0.595 -5.1450005 0.63 -5.0400004 0.665 -4.9700003 0.665 -4.8650002 0.7 -4.795 0.7 -4.69 0.735 -4.585 0.77000004 -4.5150003 0.77000004 -4.4100003 0.805 -4.235 0.84000003 -4.1650004 0.875 -4.0600004 0.875 -3.9550004 0.91 -3.8850002 0.91 -3.78 0.945 -3.6750002 0.945 -3.5700002 0.945 -3.5 0.98 -3.395 0.98 -3.2900002 0.98 -3.1850002 1.015 -3.115 1.015 -3.01 1.015 -2.9050002 1.0500001 -2.835 1.0500001 -2.73 1.0500001 -2.66 1.0500001 -2.555 1.085 -2.4850001 1.085 -2.38 1.085 -2.3100002 1.085 -2.2050002 1.085 -2.1000001 1.085 -2.0300002 1.085 -1.9250001 1.085 -1.82 1.085 -1.715 1.085 -1.6450001 1.0500001 -1.5400001 1.0500001 -1.365 1.0500001 -1.2600001 1.0500001 -1.19 1.0500001 -1.085 1.015 -1.0150001 1.015 -0.91 1.015 -0.84000003 1.015 -0.77000004 1.015 -0.665 1.015 -0.595 1.015 -0.52500004 1.015 -0.455 1.015 -0.35000002 1.015 -0.28000003 1.015 -0.21000001 1.015 -0.105000004 1.015 -0.035000004 1.015 0.07000001 1.015 0.14000002 1.015 0.24500002 1.015 0.31500003 1.015 0.38500002 1.015 0.49000004 1.015 0.56000006 1.015 0.63000005 1.015 0.735 1.015 0.805 1.015 0.875 1.0500001 0.945 1.0500001 1.0150001 1.0500001 1.085 1.0500001 1.1550001 1.0500001 1.225 1.0500001 1.2950001 1.0500001 1.4000001 1.0500001 1.47 1.0500001 1.5400001 1.015 1.6450001 1.015 1.715 1.015 1.82 1.015 1.89 1.015 1.9950001 1.015 2.1000001 0.98 2.17 0.98 2.275 0.98 2.345 0.98 2.4150002 0.98 2.5200002 0.945 2.5900002 0.945 2.6950002 0.945 2.765 0.945 2.835 0.945 2.94 0.91 3.01 0.91 3.115 0.91 3.1850002 0.91 3.2900002 0.91 3.395 0.91 3.5 0.91 3.605 0.91 3.7450001 0.91 3.8500001 0.945 3.9550004 0.945 4.0950003 0.945 4.2000003 0.945 4.3050003 0.945 4.4100003 0.98 4.55 0.98 4.655 0.98 4.76 1.015 4.8650002 1.015 4.9700003 1.0500001 5.0750003 1.0500001 5.215 1.085 5.355 1.12 5.4950004 1.12 5.635 1.155 5.775 1.19 5.9150004 1.19 6.1600003 1.225 6.2650003 1.26 6.3700004 1.26 6.4750004 1.26 6.545 1.295 6.6150002 1.295 6.65 1.295 6.685 1.26 6.685 1.26 Freehand 51 -1.33 1.155 -1.2950001 1.19 -1.2950001 1.19 -1.2950001 1.225 -1.2950001 1.225 -1.2950001 1.26 -1.2950001 1.26 -1.2950001 1.26 -1.2950001 1.295 -1.2950001 1.295 -1.2950001 1.295 -1.2600001 1.33 -1.2600001 1.33 -1.2600001 1.33 -1.2600001 1.33 -1.2600001 1.33 -1.2600001 1.365 -1.2600001 1.365 -1.2600001 1.365 -1.2600001 1.365 -1.2600001 1.365 -1.2600001 1.365 -1.2600001 1.365 -1.2600001 1.365 -1.2600001 1.365 -1.2600001 1.365 -1.2600001 1.365 -1.2600001 1.365 -1.2600001 1.365 -1.2600001 1.365 -1.2600001 1.365 -1.2600001 1.365 -1.2600001 1.365 -1.2600001 1.365 -1.2600001 1.365 -1.2600001 1.365 -1.2600001 1.295 -1.2600001 1.225 -1.2600001 1.155 -1.2600001 1.085 -1.2600001 1.015 -1.2600001 0.91 -1.2600001 0.805 -1.2600001 0.735 -1.2600001 0.665 -1.2600001 0.595 -1.225 0.56 -1.225 0.52500004 -1.225 0.49 -1.225 0.455 -1.225 0.455 Freehand 28 -1.085 0.175 -1.1200001 0.14 -1.1550001 0.105000004 -1.1550001 0.07 -1.19 0.07 -1.19 0.035 -1.225 0.0 -1.225 -0.035 -1.225 -0.105000004 -1.19 -0.175 -1.19 -0.245 -1.1550001 -0.245 -1.1200001 -0.28 -1.085 -0.28 -1.0500001 -0.28 -0.9800001 -0.28 -0.945 -0.245 -0.91 -0.21000001 -0.875 -0.14 -0.84000003 -0.07 -0.805 0.0 -0.805 0.07 -0.805 0.14 -0.84000003 0.175 -0.84000003 0.245 -0.875 0.28 -0.91 0.315 -0.91 0.315 Freehand 21 0.0 1.19 0.0 1.26 0.0 1.26 0.0 1.295 -0.035000004 1.295 -0.035000004 1.295 -0.035000004 1.295 -0.035000004 1.295 -0.035000004 1.295 -0.07000001 1.26 -0.07000001 1.225 -0.07000001 1.155 -0.105000004 1.085 -0.105000004 1.015 -0.105000004 0.91 -0.07000001 0.84000003 -0.07000001 0.77000004 -0.07000001 0.735 -0.035000004 0.665 -0.035000004 0.665 -0.035000004 0.665 Freehand 18 0.9800001 1.4 0.9800001 1.365 0.9800001 1.33 0.9800001 1.295 0.9800001 1.225 0.9800001 1.19 0.9800001 1.12 0.9800001 1.0500001 0.9800001 0.945 0.945 0.875 0.945 0.805 0.945 0.735 0.945 0.665 0.945 0.63 0.9800001 0.595 0.9800001 0.56 0.9800001 0.52500004 0.9800001 0.52500004 Freehand 12 1.9600002 1.4 1.9950001 1.33 1.9950001 1.295 1.9950001 1.26 1.9950001 1.225 1.9950001 1.19 1.9950001 1.12 1.9950001 1.085 1.9950001 1.015 1.9950001 0.945 1.9950001 0.875 1.9950001 0.875 Freehand 19 1.9600002 -0.07 1.9600002 -0.105000004 1.9600002 -0.105000004 1.9600002 -0.14 1.9600002 -0.14 1.9600002 -0.175 1.9600002 -0.175 1.9600002 -0.21000001 1.9600002 -0.245 1.9950001 -0.245 1.9950001 -0.28 1.9950001 -0.28 2.0300002 -0.315 2.0300002 -0.315 2.065 -0.35 2.1000001 -0.35 2.1350002 -0.315 2.17 -0.28 2.17 -0.28 Freehand 15 2.275 0.21000001 2.3100002 0.175 2.3100002 0.14 2.3100002 0.07 2.275 0.0 2.275 -0.07 2.275 -0.175 2.2400002 -0.315 2.2400002 -0.42000002 2.2400002 -0.52500004 2.2400002 -0.63 2.2400002 -0.735 2.2400002 -0.805 2.2400002 -0.875 2.2400002 -0.875 Freehand 11 -2.17 1.26 -2.17 1.19 -2.17 1.155 -2.17 1.0500001 -2.2050002 0.945 -2.2050002 0.84000003 -2.2050002 0.735 -2.2050002 0.63 -2.2400002 0.56 -2.2400002 0.49 -2.2400002 0.49 Freehand 15 -3.0800002 1.365 -3.045 1.365 -3.045 1.33 -3.045 1.33 -3.0800002 1.295 -3.0800002 1.26 -3.0800002 1.19 -3.0800002 1.12 -3.0800002 1.015 -3.0800002 0.91 -3.0800002 0.805 -3.0800002 0.665 -3.0800002 0.595 -3.045 0.42000002 -3.045 0.42000002 Freehand 10 -3.815 1.26 -3.78 1.12 -3.815 1.0500001 -3.815 0.945 -3.815 0.7 -3.815 0.595 -3.815 0.49 -3.815 0.38500002 -3.815 0.315 -3.815 0.315 Freehand 7 -4.8300004 0.595 -4.8650002 0.38500002 -4.8650002 0.28 -4.8650002 0.175 -4.8650002 0.105000004 -4.8300004 0.035 -4.8300004 0.035 Freehand 14 -5.6000004 -0.84000003 -5.6000004 -0.91 -5.6000004 -0.91 -5.6000004 -0.91 -5.6000004 -0.91 -5.565 -0.91 -5.53 -0.91 -5.4950004 -0.875 -5.46 -0.875 -5.425 -0.84000003 -5.355 -0.805 -5.32 -0.805 -5.2850003 -0.77000004 -5.2850003 -0.77000004 Freehand 18 -4.8300004 -0.245 -4.8300004 -0.28 -4.8300004 -0.315 -4.8300004 -0.315 -4.8300004 -0.315 -4.8300004 -0.35 -4.8650002 -0.38500002 -4.8650002 -0.42000002 -4.8650002 -0.455 -4.8650002 -0.49 -4.8650002 -0.56 -4.8650002 -0.595 -4.8300004 -0.63 -4.8300004 -0.63 -4.795 -0.665 -4.76 -0.665 -4.7250004 -0.665 -4.7250004 -0.665 Freehand 15 -4.5150003 -0.14 -4.5150003 -0.21000001 -4.5150003 -0.245 -4.5150003 -0.28 -4.55 -0.35 -4.55 -0.455 -4.55 -0.52500004 -4.55 -0.63 -4.55 -0.735 -4.55 -0.84000003 -4.55 -0.91 -4.55 -0.98 -4.55 -1.015 -4.55 -1.0500001 -4.55 -1.0500001 Freehand 15 -4.9 1.12 -4.8650002 1.015 -4.8650002 0.98 -4.8650002 0.945 -4.8650002 0.91 -4.8650002 0.84000003 -4.8650002 0.735 -4.8650002 0.63 -4.8650002 0.52500004 -4.8650002 0.42000002 -4.8650002 0.35 -4.8650002 0.245 -4.8650002 0.175 -4.8650002 0.14 -4.8650002 0.14 Freehand 97 -1.2600001 0.7 -1.2950001 0.7 -1.2950001 0.7 -1.2950001 0.735 -1.2950001 0.77000004 -1.2950001 0.805 -1.2600001 0.875 -1.2600001 0.91 -1.225 0.98 -1.225 1.015 -1.225 1.085 -1.19 1.12 -1.19 1.155 -1.1550001 1.19 -1.1550001 1.19 -1.1550001 1.225 -1.1550001 1.225 -1.1550001 1.225 -1.1550001 1.225 -1.1550001 1.155 -1.1550001 1.12 -1.19 1.0500001 -1.225 1.015 -1.225 0.98 -1.2600001 0.91 -1.2950001 0.875 -1.2950001 0.875 -1.33 0.84000003 -1.365 0.805 -1.365 0.805 -1.4000001 0.805 -1.4000001 0.805 -1.4000001 0.805 -1.4000001 0.84000003 -1.4000001 0.875 -1.4000001 0.91 -1.4000001 0.945 -1.365 0.98 -1.365 1.0500001 -1.33 1.085 -1.2950001 1.12 -1.2600001 1.155 -1.225 1.225 -1.19 1.225 -1.19 1.225 -1.19 1.225 -1.1550001 1.225 -1.1550001 1.19 -1.1550001 1.155 -1.1550001 1.155 -1.1550001 1.12 -1.1550001 1.085 -1.1550001 1.0500001 -1.19 1.015 -1.225 0.98 -1.2600001 0.945 -1.2950001 0.91 -1.33 0.875 -1.365 0.875 -1.365 0.875 -1.4000001 0.875 -1.4000001 0.91 -1.4000001 0.945 -1.4000001 0.98 -1.4000001 1.015 -1.365 1.0500001 -1.365 1.12 -1.33 1.155 -1.2950001 1.19 -1.2950001 1.225 -1.2600001 1.225 -1.225 1.225 -1.19 1.225 -1.19 1.225 -1.1550001 1.225 -1.1550001 1.19 -1.1550001 1.155 -1.1550001 1.085 -1.1550001 1.0500001 -1.1550001 0.98 -1.19 0.91 -1.19 0.875 -1.225 0.84000003 -1.2600001 0.805 -1.2950001 0.77000004 -1.2950001 0.77000004 -1.33 0.77000004 -1.33 0.77000004 -1.365 0.805 -1.365 0.875 -1.33 0.945 -1.33 1.015 -1.2950001 1.085 -1.2600001 1.12 -1.225 1.19 -1.19 1.19 -1.19 1.19 Color red Freehand 52 0.035000004 1.155 0.07000001 1.225 0.035000004 1.225 0.0 1.225 -0.035000004 1.19 -0.07000001 1.155 -0.14000002 1.085 -0.17500001 1.0500001 -0.21000001 0.98 -0.24500002 0.945 -0.28000003 0.91 -0.28000003 0.875 -0.28000003 0.875 -0.28000003 0.875 -0.28000003 0.875 -0.28000003 0.875 -0.28000003 0.875 -0.24500002 0.91 -0.21000001 0.945 -0.21000001 0.98 -0.17500001 1.015 -0.14000002 1.0500001 -0.105000004 1.085 -0.07000001 1.12 -0.035000004 1.155 0.0 1.155 0.0 1.155 0.035000004 1.155 0.035000004 1.155 0.035000004 1.12 0.035000004 1.085 0.035000004 1.015 0.0 0.98 -0.035000004 0.91 -0.07000001 0.84000003 -0.105000004 0.805 -0.14000002 0.77000004 -0.17500001 0.735 -0.17500001 0.735 -0.17500001 0.735 -0.17500001 0.735 -0.17500001 0.77000004 -0.17500001 0.77000004 -0.17500001 0.84000003 -0.14000002 0.875 -0.105000004 0.945 -0.07000001 0.98 -0.035000004 1.015 -0.035000004 1.0500001 0.0 1.0500001 0.035000004 1.015 0.035000004 1.015 Color red Freehand 58 1.1550001 1.19 1.19 1.12 1.1550001 1.12 1.1200001 1.085 1.1200001 1.085 1.085 1.085 1.0500001 1.0500001 1.0150001 1.015 0.9800001 0.98 0.91 0.98 0.91 0.945 0.875 0.945 0.875 0.91 0.84000003 0.91 0.84000003 0.91 0.84000003 0.91 0.84000003 0.945 0.84000003 0.945 0.84000003 0.945 0.875 0.98 0.875 0.98 0.875 1.015 0.91 1.0500001 0.91 1.0500001 0.945 1.085 0.945 1.12 0.9800001 1.12 0.9800001 1.155 1.0150001 1.155 1.0150001 1.155 1.0500001 1.19 1.0500001 1.19 1.085 1.19 1.085 1.19 1.085 1.155 1.085 1.155 1.085 1.12 1.085 1.0500001 1.0500001 1.015 1.0500001 0.98 1.0150001 0.945 0.9800001 0.875 0.945 0.875 0.945 0.875 0.91 0.875 0.875 0.875 0.875 0.875 0.84000003 0.875 0.84000003 0.91 0.84000003 0.945 0.84000003 0.98 0.84000003 1.0500001 0.875 1.085 0.875 1.12 0.91 1.155 0.91 1.155 0.945 1.155 0.945 1.155 Color red Freehand 70 -3.115 0.945 -3.0800002 0.98 -3.0800002 0.98 -3.0800002 0.98 -3.0800002 0.98 -3.0800002 1.015 -3.0800002 1.015 -3.15 0.98 -3.1850002 0.945 -3.255 0.91 -3.255 0.91 -3.255 0.91 -3.255 0.91 -3.255 0.91 -3.255 0.91 -3.255 0.91 -3.255 0.945 -3.22 1.015 -3.22 1.085 -3.1850002 1.12 -3.15 1.155 -3.15 1.19 -3.115 1.225 -3.115 1.26 -3.0800002 1.26 -3.0800002 1.295 -3.0800002 1.295 -3.0800002 1.26 -3.0800002 1.225 -3.0800002 1.19 -3.115 1.155 -3.115 1.085 -3.15 1.015 -3.1850002 0.98 -3.22 0.91 -3.22 0.875 -3.255 0.84000003 -3.2900002 0.84000003 -3.325 0.805 -3.325 0.805 -3.3600001 0.805 -3.3600001 0.84000003 -3.3600001 0.875 -3.3600001 0.91 -3.325 0.945 -3.325 1.015 -3.2900002 1.085 -3.255 1.12 -3.22 1.155 -3.22 1.19 -3.1850002 1.225 -3.15 1.225 -3.115 1.26 -3.115 1.26 -3.0800002 1.26 -3.0800002 1.26 -3.0800002 1.225 -3.0800002 1.225 -3.0800002 1.155 -3.115 1.085 -3.15 1.0500001 -3.1850002 1.015 -3.22 0.98 -3.255 0.98 -3.255 0.945 -3.2900002 0.945 -3.2900002 0.945 -3.2900002 0.98 -3.255 1.015 -3.255 1.015 Color red Freehand 37 -4.13 0.98 -4.0950003 1.015 -4.0950003 1.015 -4.0950003 1.015 -4.0950003 1.015 -4.0950003 1.015 -4.0950003 1.015 -4.0950003 0.98 -4.0950003 0.98 -4.0950003 0.945 -4.13 0.875 -4.1650004 0.84000003 -4.1650004 0.805 -4.2000003 0.805 -4.235 0.77000004 -4.2700005 0.77000004 -4.2700005 0.77000004 -4.2700005 0.77000004 -4.3050003 0.77000004 -4.3050003 0.77000004 -4.2700005 0.805 -4.2700005 0.84000003 -4.2000003 0.91 -4.0950003 1.015 -4.025 1.085 -3.9900002 1.12 -3.9550004 1.155 -3.9550004 1.155 -3.9550004 1.155 -3.9900002 1.12 -3.9900002 1.085 -4.0600004 0.945 -4.0950003 0.875 -4.0950003 0.805 -4.13 0.7 -4.13 0.665 -4.13 0.665 Color red Freehand 39 -2.45 1.19 -2.555 1.155 -2.5900002 1.12 -2.6250002 1.12 -2.66 1.085 -2.66 1.0500001 -2.6950002 1.015 -2.6950002 1.015 -2.6950002 0.98 -2.6950002 0.98 -2.6950002 0.98 -2.6950002 0.98 -2.66 0.98 -2.6250002 1.015 -2.5200002 1.085 -2.4850001 1.155 -2.45 1.19 -2.4150002 1.225 -2.38 1.26 -2.38 1.295 -2.38 1.295 -2.38 1.295 -2.38 1.295 -2.38 1.26 -2.38 1.225 -2.38 1.19 -2.4150002 1.12 -2.4150002 1.0500001 -2.45 0.945 -2.4850001 0.875 -2.5200002 0.84000003 -2.5200002 0.84000003 -2.5200002 0.84000003 -2.5200002 0.875 -2.5200002 0.945 -2.45 1.085 -2.4150002 1.19 -2.345 1.225 -2.345 1.225 Color red Freehand 78 2.9050002 1.015 2.94 1.0500001 2.94 1.0500001 2.9750001 1.085 2.9750001 1.085 2.9750001 1.085 2.9750001 1.085 2.9750001 1.085 2.9750001 1.085 2.9750001 1.085 2.9750001 1.0500001 2.9750001 0.98 2.94 0.945 2.94 0.91 2.94 0.875 2.94 0.875 2.9050002 0.84000003 2.9050002 0.84000003 2.9050002 0.84000003 2.9050002 0.84000003 2.9050002 0.875 2.9050002 0.875 2.94 0.98 2.9750001 1.015 2.9750001 1.0500001 3.01 1.12 3.045 1.155 3.0800002 1.19 3.0800002 1.225 3.0800002 1.225 3.115 1.19 3.115 1.19 3.0800002 1.12 3.0800002 1.015 3.045 0.91 3.01 0.875 3.01 0.875 2.9750001 0.84000003 2.9750001 0.84000003 2.94 0.84000003 2.94 0.84000003 2.9050002 0.84000003 2.9050002 0.84000003 2.9050002 0.875 2.9050002 0.91 2.9050002 0.945 2.9050002 0.98 2.9050002 1.015 2.94 1.085 2.9750001 1.12 3.01 1.12 3.01 1.12 3.045 1.155 3.045 1.155 3.045 1.12 3.0800002 1.12 3.0800002 1.085 3.0800002 1.0500001 3.0800002 0.98 3.045 0.945 3.045 0.875 3.01 0.84000003 2.9750001 0.805 2.94 0.77000004 2.94 0.735 2.9050002 0.735 2.8700001 0.735 2.8700001 0.735 2.8700001 0.77000004 2.8700001 0.77000004 2.8700001 0.84000003 2.8700001 0.875 2.8700001 0.945 2.9050002 0.98 2.9050002 1.015 2.9750001 1.085 3.01 1.085 3.01 1.085 Color blue Freehand 52 4.2000003 0.98 4.1650004 0.98 4.13 0.98 4.13 0.98 4.0950003 0.98 4.0600004 0.98 4.025 0.945 3.9900002 0.945 3.9200003 0.91 3.8850002 0.875 3.8500001 0.875 3.815 0.84000003 3.78 0.84000003 3.7450001 0.805 3.7450001 0.805 3.7450001 0.805 3.7450001 0.805 3.7450001 0.805 3.7450001 0.805 3.7450001 0.84000003 3.78 0.875 3.815 0.91 3.8500001 0.945 3.8850002 1.015 3.9200003 1.0500001 3.9550004 1.085 3.9900002 1.12 3.9900002 1.12 3.9900002 1.155 4.025 1.155 4.025 1.155 4.025 1.12 4.025 1.085 3.9900002 1.0500001 3.9900002 1.015 3.9200003 0.91 3.8500001 0.805 3.815 0.77000004 3.7450001 0.735 3.71 0.7 3.6750002 0.7 3.64 0.7 3.64 0.7 3.64 0.735 3.64 0.805 3.6750002 0.84000003 3.7450001 0.945 3.8500001 0.98 3.8850002 0.98 3.9550004 0.98 3.9900002 0.98 3.9900002 0.98 Color blue Freehand 38 4.76 1.085 4.76 1.12 4.795 1.155 4.795 1.19 4.8300004 1.19 4.8300004 1.225 4.8650002 1.26 4.8650002 1.26 4.9 1.26 4.9 1.26 4.9 1.26 4.9 1.26 4.9 1.225 4.9 1.19 4.9 1.155 4.8650002 1.085 4.8650002 1.0500001 4.8300004 0.98 4.795 0.945 4.795 0.91 4.76 0.875 4.76 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Learn Math Equation: x < - 4 or Learn Math Equation: x > 4

Think: Learn Math Equation:(| x)| > - 2.... "all real numbers"

Ex: Solve Learn Math Equation: 4 -(| 2 x - 3)|s> 1

Learn Math Equation: -(| 2 x - 3)|s> - 3

Learn Math Equation:(| 2 x - 3)|s< 3

Splits:

Learn Math Equation: - 3s< 2 x - 3s< 3

Learn Math Equation: 0s< 2 xs< 6

Learn Math Equation: 0s< xs< 3

In interval notation Learn Math Equation:([ 0 , 3)]

GraphLearn Math Graph:427 168 -7.472499999999998 1.0 7.472499999999998 -2.9399999999999986 1.0 2.9399999999999986 g false Freehand 154 -5.9674997 0.35 -6.0025 0.35 -6.0025 0.35 -6.0375 0.35 -6.0375 0.35 -6.0375 0.35 -6.0375 0.35 -6.0375 0.35 -6.0375 0.35 -6.0025 0.35 -6.0025 0.35 -5.9674997 0.38500002 -5.8975 0.38500002 -5.8625 0.42000002 -5.7925 0.42000002 -5.7225 0.455 -5.6524997 0.455 -5.5824995 0.455 -5.5125 0.49 -5.4075 0.49 -5.3375 0.52500004 -5.2324996 0.52500004 -5.1275 0.52500004 -5.0224996 0.56 -4.9525 0.56 -4.8475 0.595 -4.7425 0.595 -4.6375003 0.595 -4.5325 0.63 -4.4275002 0.63 -4.3224998 0.63 -4.2175 0.63 -4.1475 0.665 -3.9374998 0.665 -3.8325 0.7 -3.7624998 0.7 -3.6575 0.735 -3.5525 0.735 -3.4475 0.735 -3.3425 0.735 -3.2724998 0.735 -3.1674998 0.735 -3.0974998 0.735 -2.9924998 0.735 -2.9225 0.735 -2.8525 0.735 -2.7824998 0.735 -2.7124999 0.735 -2.6425 0.735 -2.5725 0.735 -2.5025 0.735 -2.4675 0.735 -2.3975 0.735 -2.3274999 0.7 -2.2575 0.7 -2.1875 0.7 -2.1175 0.7 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Ex:

Learn Math Equation: 2(| 3 x - 7)| > 5

Learn Math Equation:(| 3 x - 7)| >(/ 5,/ 2)/

Learn Math Equation: 3 x - 7 >(/ 5,/ 2)/ or Learn Math Equation: 3 x - 7 < -(/ 5,/ 2)/

Learn Math Equation: 3 x >(/ 1 9,/ 2)/ or Learn Math Equation: 3 x <(/ 9,/ 2)/

Learn Math Equation: x >(/ 1 9,/ 6)/ or Learn Math Equation: x <(/ 3,/ 2)/

Learn Math Equation:(( -s8 ,(/ 3,/ 2)/)) U(((/ 1 9,/ 6)/ ,s8))

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6.1425004 0.7875 6.1425004 0.7875 6.1425004 0.7875 6.1075 0.7875 6.0724998 0.7525 6.0025 0.6825 5.8975 0.6125 5.7575 0.5075 5.6525 0.4025 5.5125 0.2975 5.3725004 0.19250001 5.2675 0.1225 5.0575 -0.0525 5.0225 -0.087500006 4.9875 -0.1225 4.9525 -0.1575 4.9525 -0.1575 4.9525 -0.1575 4.9875 -0.1575 5.0575 -0.1225 5.1275 -0.087500006 5.2325 -0.0175 5.3375 0.087500006 5.4425 0.19250001 5.5825 0.2975 5.6875 0.4025 5.7925 0.5075 5.8625 0.57750005 5.9325004 0.6475 5.9675 0.6825 5.9675 0.71750003 5.9675 0.71750003 5.9675 0.71750003 5.9325004 0.6825 5.8625 0.6825 5.7925 0.6125 5.7225003 0.5425 5.6175003 0.4725 5.5125 0.4025 5.4425 0.3325 5.3725004 0.26250002 5.3025 0.19250001 5.2675 0.19250001 5.2675 0.1575 5.2675 0.1575 5.2675 0.1575 5.3375 0.19250001 5.4075003 0.2275 5.4775 0.26250002 5.6525 0.3675 5.7225003 0.43750003 5.8275 0.5075 5.8625 0.5425 5.8275 0.5425 5.7575 0.5425 5.5475 0.4025 5.4425 0.2975 5.3375 0.19250001 5.2325 0.1225 5.1625004 0.0175 5.1275 -0.0525 5.0925 -0.1225 5.1275 -0.1575 5.1275 -0.1575 Color blue

What's on the test:

2.3) Function compositions.

2.4) 7 base function graphs Learn Math Equation: x , x(^ 2)^ , x(^ 3)^ ,(r,r x)r ,(r 3,r x)r ,(| x)| ,(/ 1,/ x)/

6 transformations Learn Math Equation: f(( x)) + a , f(( x - a)) , - f(( x)) , f(( - x)) , 2 f(( x)) , f(( 2 x))

2.5) direct/inverse/joint variation

3.1) +,-,*,÷,^ complex numbers

3.2) Solve quad eqns, Apply quad eqns, Solve eqns quad in form.

3.3) Vertex/graph min/max of quad. Learn Math Equation: a x(^ 2)^ + b x + c vs Learn Math Equation: a(( x - h))(^ 2)^ + k

Learn Math Equation: f(( x)) = x(^ 2)^ - 6 x + 5

Learn Math Equation: f(( x)) = x(^ 2)^ - 6 x + 9 - 9 + 5

Learn Math Equation: f(( x)) =(( x - 3))(^ 2)^ - 4

Learn Math Graph:400 400 -7.0 1.0 7.0 -7.0 1.0 7.0 g true Point 3.0 -4.0 Color blue Point 4.0 -3.0 Color blue Point 5.0 0.0 Color blue Point 6.0 5.0 Color blue Point 2.0 -3.0 Color blue Point 1.0 0.0 Color blue Point 0.0 5.0 Color blue Freehand 18 2.9399998 -4.025 2.9750001 -4.025 3.01 -4.025 3.01 -4.025 3.045 -4.025 3.08 -4.025 3.115 -4.025 3.115 -4.025 3.1499999 -4.06 3.1850002 -4.06 3.1850002 -4.06 3.1850002 -4.06 3.22 -4.06 3.22 -4.06 3.22 -4.06 3.22 -4.06 3.22 -4.06 3.22 -4.06 Color blue Freehand 14 3.01 -4.06 3.045 -4.025 3.08 -4.025 3.08 -4.025 3.08 -4.025 3.115 -4.025 3.115 -4.025 3.1499999 -4.025 3.1499999 -4.025 3.1850002 -4.025 3.22 -4.025 3.255 -4.025 3.29 -4.025 3.29 -4.025 Color blue Freehand 10 3.115 -4.025 3.1850002 -3.99 3.1850002 -3.99 3.22 -3.99 3.255 -3.99 3.29 -3.955 3.325 -3.955 3.36 -3.92 3.36 -3.92 3.36 -3.92 Color blue Freehand 11 3.22 -3.955 3.255 -3.955 3.29 -3.955 3.29 -3.955 3.325 -3.92 3.36 -3.92 3.395 -3.885 3.43 -3.885 3.4650002 -3.8500001 3.5 -3.815 3.5 -3.815 Color blue Freehand 27 3.08 -3.99 3.115 -3.99 3.115 -3.99 3.115 -3.99 3.1499999 -3.99 3.1499999 -3.99 3.1499999 -3.99 3.1850002 -3.99 3.1850002 -4.025 3.22 -4.025 3.22 -4.025 3.255 -4.025 3.29 -4.025 3.325 -4.025 3.325 -3.99 3.36 -3.99 3.395 -3.99 3.43 -3.955 3.4650002 -3.955 3.4650002 -3.92 3.5 -3.92 3.5349998 -3.885 3.5349998 -3.885 3.57 -3.8500001 3.57 -3.8500001 3.57 -3.815 3.57 -3.815 Color blue Freehand 10 3.5349998 -3.815 3.6399999 -3.7450001 3.6749997 -3.7099998 3.7099998 -3.6749997 3.7450001 -3.6399999 3.7800002 -3.605 3.7800002 -3.605 3.7800002 -3.57 3.7800002 -3.57 3.7800002 -3.57 Color blue Freehand 23 3.5 -3.7800002 3.5349998 -3.7800002 3.5349998 -3.7800002 3.57 -3.7800002 3.57 -3.7450001 3.605 -3.7450001 3.6399999 -3.7099998 3.6399999 -3.7099998 3.6749997 -3.6749997 3.6749997 -3.6749997 3.7099998 -3.6399999 3.7450001 -3.605 3.7450001 -3.605 3.7450001 -3.57 3.7800002 -3.5349998 3.7800002 -3.5349998 3.815 -3.5 3.815 -3.4650002 3.815 -3.43 3.815 -3.43 3.8500001 -3.395 3.8500001 -3.36 3.8500001 -3.36 Color blue Freehand 19 3.7450001 -3.4650002 3.7800002 -3.4650002 3.7800002 -3.43 3.7800002 -3.43 3.815 -3.43 3.815 -3.395 3.815 -3.36 3.8500001 -3.36 3.8500001 -3.325 3.8500001 -3.325 3.885 -3.29 3.885 -3.255 3.92 -3.255 3.92 -3.22 3.92 -3.1850002 3.92 -3.1499999 3.955 -3.1499999 3.955 -3.115 3.955 -3.115 Color blue Freehand 19 2.905 -4.025 2.835 -4.025 2.835 -4.025 2.835 -4.025 2.8 -4.025 2.8 -4.025 2.765 -4.025 2.765 -4.025 2.73 -4.025 2.73 -4.025 2.73 -4.025 2.695 -4.025 2.695 -4.025 2.695 -4.025 2.695 -4.025 2.6599998 -4.06 2.6599998 -4.06 2.6599998 -4.06 2.6599998 -4.06 Color blue Freehand 21 2.905 -4.06 2.835 -4.06 2.835 -4.06 2.8 -4.025 2.8 -4.025 2.765 -4.025 2.765 -4.025 2.73 -4.025 2.73 -4.025 2.695 -4.025 2.695 -4.025 2.6599998 -3.99 2.6599998 -3.99 2.625 -3.99 2.625 -3.99 2.625 -3.99 2.5900002 -3.99 2.5900002 -3.99 2.5900002 -3.99 2.5900002 -3.99 2.5900002 -3.99 Color blue Freehand 18 2.765 -4.025 2.73 -4.025 2.73 -4.025 2.695 -3.99 2.6599998 -3.99 2.6599998 -3.99 2.625 -3.955 2.625 -3.955 2.5900002 -3.955 2.5900002 -3.955 2.555 -3.955 2.555 -3.92 2.555 -3.92 2.52 -3.92 2.52 -3.92 2.52 -3.92 2.485 -3.92 2.485 -3.92 Color blue Freehand 29 2.6599998 -3.885 2.6599998 -3.92 2.625 -3.92 2.625 -3.885 2.5900002 -3.885 2.5900002 -3.885 2.555 -3.885 2.555 -3.885 2.555 -3.885 2.52 -3.885 2.52 -3.8500001 2.485 -3.8500001 2.485 -3.8500001 2.45 -3.815 2.45 -3.815 2.415 -3.815 2.415 -3.815 2.38 -3.7800002 2.38 -3.7800002 2.38 -3.7800002 2.38 -3.7450001 2.345 -3.7450001 2.345 -3.7099998 2.345 -3.7099998 2.345 -3.7099998 2.345 -3.7099998 2.345 -3.6749997 2.345 -3.6749997 2.345 -3.6749997 Color blue Freehand 34 2.345 -3.7099998 2.3100002 -3.7099998 2.2749999 -3.7099998 2.2749999 -3.6749997 2.2749999 -3.6749997 2.24 -3.6399999 2.24 -3.6399999 2.205 -3.605 2.205 -3.605 2.17 -3.57 2.17 -3.57 2.17 -3.5349998 2.17 -3.5349998 2.135 -3.5 2.135 -3.4650002 2.135 -3.4650002 2.135 -3.43 2.1000001 -3.395 2.1000001 -3.395 2.1000001 -3.36 2.0649998 -3.325 2.0649998 -3.325 2.0649998 -3.29 2.0649998 -3.29 2.03 -3.29 2.03 -3.255 2.03 -3.255 2.03 -3.255 2.03 -3.255 2.03 -3.255 2.03 -3.255 2.03 -3.255 2.03 -3.255 2.03 -3.255 Color blue Freehand 6 1.995 -3.1499999 1.96 -3.08 1.96 -3.08 1.96 -3.08 1.96 -3.08 1.96 -3.08 Color blue Freehand 17 4.025 -2.835 4.06 -2.8 4.06 -2.8 4.06 -2.8 4.095 -2.765 4.095 -2.765 4.095 -2.73 4.1299996 -2.695 4.165 -2.6599998 4.165 -2.625 4.2000003 -2.5900002 4.235 -2.52 4.235 -2.45 4.27 -2.38 4.3050003 -2.345 4.3050003 -2.3100002 4.3050003 -2.3100002 Color blue Freehand 12 4.165 -2.5900002 4.235 -2.555 4.235 -2.555 4.27 -2.52 4.27 -2.485 4.3050003 -2.45 4.34 -2.415 4.375 -2.345 4.41 -2.3100002 4.4449997 -2.2749999 4.4449997 -2.205 4.4449997 -2.205 Color blue Freehand 17 4.375 -2.135 4.41 -2.1000001 4.41 -2.0649998 4.4449997 -2.03 4.4449997 -1.995 4.48 -1.9250001 4.515 -1.8900001 4.5499997 -1.8199999 4.5499997 -1.75 4.585 -1.68 4.6200004 -1.61 4.6200004 -1.54 4.655 -1.435 4.655 -1.4 4.69 -1.365 4.69 -1.3299999 4.69 -1.3299999 Color blue Freehand 19 4.6200004 -1.4 4.6200004 -1.365 4.655 -1.3299999 4.69 -1.2950001 4.69 -1.225 4.725 -1.19 4.725 -1.12 4.76 -1.0500001 4.76 -0.98 4.76 -0.94500005 4.76 -0.875 4.795 -0.805 4.795 -0.77 4.795 -0.73499995 4.795 -0.7 4.83 -0.66499996 4.83 -0.66499996 4.83 -0.63 4.83 -0.63 Color blue Freehand 19 4.795 -0.52500004 4.83 -0.49 4.865 -0.45499998 4.865 -0.42 4.9 -0.35 4.935 -0.28 4.97 -0.245 4.97 -0.175 5.0049996 -0.105 5.0049996 -0.035 5.04 0.035 5.04 0.105 5.04 0.175 5.04 0.21 5.0750003 0.28 5.0750003 0.315 5.0750003 0.315 5.0750003 0.35 5.0750003 0.35 Color blue Freehand 16 1.0500001 0.245 1.0500001 0.21 1.015 0.175 1.015 0.14 1.0500001 0.105 1.0500001 0.105 1.0500001 0.0 1.085 -0.035 1.085 -0.105 1.085 -0.175 1.085 -0.245 1.12 -0.28 1.12 -0.35 1.12 -0.42 1.1550001 -0.52500004 1.1550001 -0.52500004 Color blue Freehand 20 1.19 -0.385 1.19 -0.49 1.19 -0.52500004 1.225 -0.66499996 1.225 -0.77 1.225 -0.84 1.225 -0.90999997 1.225 -1.015 1.225 -1.085 1.225 -1.19 1.225 -1.26 1.26 -1.365 1.26 -1.435 1.26 -1.4699999 1.26 -1.5749999 1.2950001 -1.61 1.2950001 -1.61 1.2950001 -1.645 1.2950001 -1.715 1.2950001 -1.715 Color blue Freehand 18 1.2950001 -1.0500001 1.3299999 -1.12 1.365 -1.225 1.365 -1.26 1.4 -1.3299999 1.435 -1.505 1.4699999 -1.5749999 1.505 -1.68 1.54 -1.8549999 1.5749999 -1.96 1.61 -2.03 1.645 -2.24 1.68 -2.345 1.68 -2.38 1.68 -2.415 1.68 -2.45 1.68 -2.485 1.68 -2.485 Color blue Freehand 16 1.645 -2.0649998 1.715 -2.17 1.75 -2.2749999 1.75 -2.3100002 1.785 -2.38 1.8199999 -2.415 1.8549999 -2.485 1.8549999 -2.52 1.9250001 -2.625 1.9250001 -2.695 1.96 -2.73 1.995 -2.8 1.995 -2.835 2.03 -2.905 2.0649998 -2.9399998 2.0649998 -2.9399998 Color blue Freehand 10 5.11 0.175 5.1800003 0.28 5.215 0.35 5.25 0.42 5.285 0.49 5.3199997 0.56 5.355 0.63 5.355 0.73499995 5.39 0.805 5.39 0.805 Color blue Freehand 18 5.285 0.98 5.285 1.015 5.285 1.0500001 5.3199997 1.085 5.3199997 1.12 5.355 1.19 5.355 1.225 5.39 1.2950001 5.4249997 1.365 5.4249997 1.435 5.46 1.54 5.4950004 1.61 5.53 1.715 5.53 1.785 5.565 1.995 5.565 2.0649998 5.565 2.135 5.565 2.135 Color blue Freehand 22 5.4249997 2.135 5.4249997 2.0649998 5.39 2.0649998 5.39 2.0649998 5.39 2.0649998 5.4249997 2.1000001 5.4249997 2.1000001 5.46 2.135 5.4950004 2.205 5.53 2.2749999 5.565 2.345 5.6 2.415 5.635 2.485 5.67 2.5900002 5.67 2.695 5.705 2.835 5.74 2.9399998 5.74 3.045 5.775 3.1850002 5.775 3.255 5.775 3.36 5.775 3.36 Color blue Freehand 39 6.0550003 5.215 6.0550003 5.285 6.0550003 5.3199997 6.0550003 5.3199997 6.09 5.355 6.09 5.355 6.09 5.355 6.09 5.355 6.0550003 5.355 6.0550003 5.355 6.0550003 5.355 6.0550003 5.3199997 6.02 5.285 5.985 5.215 5.985 5.145 5.9500003 5.11 5.9500003 5.04 5.915 4.97 5.915 4.865 5.8799996 4.795 5.8799996 4.69 5.845 4.585 5.81 4.48 5.81 4.34 5.775 4.235 5.775 4.095 5.74 3.99 5.74 3.8500001 5.74 3.7450001 5.705 3.6399999 5.705 3.57 5.705 3.4650002 5.705 3.43 5.705 3.36 5.67 3.325 5.67 3.325 5.67 3.29 5.67 3.29 5.67 3.29 Color blue Freehand 24 5.8799996 4.095 5.9500003 4.06 5.915 4.025 5.915 3.99 5.915 3.885 5.8799996 3.815 5.8799996 3.7099998 5.845 3.605 5.775 3.36 5.74 3.22 5.705 3.115 5.67 2.9750001 5.635 2.87 5.6 2.765 5.565 2.6599998 5.565 2.5900002 5.53 2.485 5.53 2.415 5.4950004 2.345 5.4950004 2.3100002 5.4950004 2.24 5.46 2.205 5.46 2.17 5.46 2.17 Color blue Freehand 7 5.4950004 2.17 5.4950004 2.0649998 5.46 1.995 5.46 1.9250001 5.46 1.8549999 5.4249997 1.75 5.4249997 1.75 Color blue Freehand 20 -0.105 5.3199997 -0.07 5.3199997 -0.035 5.285 -0.035 5.25 -0.035 5.215 -0.035 5.1800003 -0.035 5.145 -0.035 5.0750003 0.0 5.04 0.0 4.97 0.0 4.865 0.0 4.795 0.0 4.725 0.035 4.69 0.035 4.655 0.035 4.6200004 0.035 4.585 0.035 4.5499997 0.035 4.5499997 0.035 4.5499997 Color blue Freehand 45 0.035 4.9 0.035 4.865 0.035 4.83 0.07 4.795 0.07 4.725 0.07 4.69 0.105 4.5499997 0.105 4.48 0.14 4.34 0.175 4.235 0.175 4.165 0.175 4.06 0.175 3.99 0.21 3.92 0.21 3.815 0.21 3.7099998 0.21 3.605 0.245 3.5 0.245 3.395 0.245 3.325 0.28 3.22 0.28 3.1499999 0.28 3.045 0.28 2.9750001 0.28 2.9399998 0.28 2.87 0.28 2.835 0.28 2.73 0.28 2.6599998 0.28 2.625 0.315 2.555 0.315 2.485 0.315 2.45 0.315 2.415 0.315 2.38 0.35 2.345 0.35 2.345 0.35 2.3100002 0.385 2.2749999 0.385 2.2749999 0.385 2.24 0.385 2.205 0.385 2.17 0.385 2.17 0.385 2.17 Color blue Freehand 27 0.35 2.52 0.35 2.485 0.35 2.45 0.35 2.415 0.385 2.345 0.385 2.3100002 0.385 2.24 0.385 2.17 0.42 2.1000001 0.42 2.03 0.42 1.96 0.45499998 1.8549999 0.45499998 1.785 0.45499998 1.68 0.45499998 1.61 0.49 1.4699999 0.49 1.4 0.49 1.365 0.52500004 1.2950001 0.52500004 1.225 0.52500004 1.19 0.56 1.1550001 0.56 1.085 0.56 1.015 0.56 0.98 0.56 0.98 0.56 0.98 Color blue Freehand 15 0.63 0.805 0.66499996 0.7 0.7 0.66499996 0.7 0.63 0.73499995 0.595 0.73499995 0.56 0.73499995 0.52500004 0.77 0.49 0.77 0.45499998 0.805 0.42 0.805 0.385 0.805 0.35 0.805 0.315 0.84 0.315 0.84 0.315 Color blue Freehand 17 0.805 0.805 0.84 0.77 0.84 0.73499995 0.875 0.7 0.875 0.66499996 0.875 0.63 0.90999997 0.56 0.90999997 0.52500004 0.94500005 0.45499998 0.94500005 0.42 0.94500005 0.35 0.98 0.315 0.98 0.28 0.98 0.245 0.98 0.21 0.98 0.175 0.98 0.175 Color blue Freehand 11 0.90999997 0.42 0.90999997 0.385 0.94500005 0.35 0.98 0.245 0.98 0.175 1.015 0.14 1.015 0.035 1.0500001 0.0 1.0500001 -0.035 1.0500001 -0.035 1.0500001 -0.035 Color blue Freehand 22 0.28 2.03 0.315 1.995 0.315 1.96 0.35 1.9250001 0.35 1.8549999 0.385 1.785 0.42 1.715 0.45499998 1.645 0.49 1.54 0.52500004 1.4699999 0.56 1.365 0.595 1.26 0.63 1.1550001 0.7 0.94500005 0.7 0.84 0.73499995 0.77 0.77 0.595 0.805 0.52500004 0.805 0.49 0.84 0.42 0.84 0.385 0.84 0.385 Color blue Freehand 11 0.63 1.4 0.66499996 1.2950001 0.73499995 1.1550001 0.73499995 1.0500001 0.77 0.94500005 0.84 0.73499995 0.875 0.595 0.90999997 0.52500004 0.90999997 0.42 0.94500005 0.35 0.94500005 0.35 Color blue Freehand 79 0.07 5.145 0.105 5.11 0.105 5.11 0.105 5.11 0.105 5.11 0.105 5.11 0.105 5.145 0.105 5.145 0.105 5.145 0.07 5.1800003 0.07 5.1800003 0.07 5.1800003 0.07 5.215 0.07 5.215 0.07 5.215 0.07 5.25 0.035 5.25 0.035 5.25 0.035 5.25 0.035 5.25 0.035 5.25 0.035 5.25 0.035 5.25 0.035 5.215 0.0 5.215 0.0 5.1800003 0.0 5.1800003 0.0 5.145 0.0 5.145 0.0 5.145 0.0 5.145 0.0 5.11 0.0 5.11 0.0 5.11 0.0 5.11 0.0 5.11 0.0 5.11 0.0 5.11 0.0 5.11 0.0 5.145 0.0 5.145 0.0 5.1800003 0.0 5.1800003 0.0 5.215 0.0 5.25 0.0 5.285 -0.035 5.355 -0.035 5.39 -0.035 5.4249997 -0.035 5.46 -0.07 5.4950004 -0.07 5.565 -0.07 5.6 -0.07 5.635 -0.07 5.67 -0.07 5.705 -0.07 5.775 -0.105 5.81 -0.105 5.845 -0.105 5.8799996 -0.14 5.915 -0.14 5.985 -0.14 5.985 -0.175 5.985 -0.175 5.985 -0.175 6.02 -0.175 6.02 -0.175 6.02 -0.175 6.02 -0.175 6.02 -0.175 6.02 -0.175 6.02 -0.175 6.02 -0.175 6.02 -0.175 6.02 -0.175 6.02 -0.175 6.02 -0.175 5.985 -0.175 5.985 Color blue Freehand 29 -0.315 5.775 -0.35 5.81 -0.315 5.845 -0.315 5.8799996 -0.315 5.8799996 -0.315 5.915 -0.28 5.985 -0.28 5.985 -0.28 6.02 -0.28 6.02 -0.245 6.0550003 -0.245 6.0550003 -0.21 6.09 -0.21 6.09 -0.175 6.09 -0.175 6.09 -0.14 6.09 -0.14 6.09 -0.105 6.09 -0.07 6.0550003 -0.07 6.0550003 -0.07 6.02 -0.035 5.9500003 -0.035 5.915 -0.035 5.845 0.0 5.775 0.0 5.705 0.035 5.6 0.035 5.6 Color blue Freehand 105 5.985 4.865 5.985 4.9 6.02 4.9 6.02 4.97 6.0550003 5.0049996 6.0550003 5.04 6.09 5.0750003 6.09 5.11 6.125 5.1800003 6.16 5.215 6.16 5.25 6.1949997 5.3199997 6.1949997 5.355 6.23 5.39 6.23 5.4249997 6.265 5.46 6.265 5.53 6.265 5.565 6.2999997 5.6 6.2999997 5.635 6.2999997 5.67 6.2999997 5.705 6.2999997 5.705 6.2999997 5.74 6.2999997 5.74 6.265 5.74 6.265 5.74 6.265 5.74 6.265 5.74 6.265 5.74 6.265 5.74 6.265 5.74 6.265 5.74 6.265 5.74 6.265 5.74 6.265 5.74 6.265 5.74 6.265 5.74 6.265 5.775 6.265 5.775 6.265 5.81 6.265 5.81 6.265 5.845 6.265 5.915 6.265 5.915 6.265 5.985 6.265 5.985 6.265 5.985 6.265 5.985 6.265 5.985 6.265 5.985 6.265 5.985 6.265 5.985 6.265 5.985 6.265 5.9500003 6.265 5.9500003 6.265 5.915 6.265 5.8799996 6.265 5.845 6.265 5.81 6.265 5.775 6.265 5.705 6.23 5.635 6.23 5.6 6.1949997 5.565 6.1949997 5.4950004 6.16 5.46 6.16 5.46 6.16 5.4249997 6.16 5.4249997 6.16 5.4249997 6.16 5.4249997 6.16 5.4249997 6.16 5.4249997 6.16 5.4249997 6.16 5.4249997 6.16 5.4249997 6.16 5.4249997 6.16 5.4249997 6.16 5.46 6.16 5.4950004 6.16 5.565 6.16 5.6 6.16 5.635 6.1949997 5.705 6.1949997 5.74 6.1949997 5.81 6.1949997 5.8799996 6.1949997 5.915 6.1949997 6.02 6.23 6.0550003 6.23 6.09 6.23 6.125 6.23 6.125 6.23 6.16 6.265 6.16 6.265 6.16 6.265 6.16 6.265 6.1949997 6.265 6.1949997 6.265 6.1949997 6.265 6.1949997 6.265 6.1949997 6.23 6.1949997 6.23 6.1949997 Color blue Freehand 30 6.09 6.02 6.125 6.0550003 6.16 6.0550003 6.16 6.09 6.1949997 6.09 6.23 6.125 6.265 6.125 6.2999997 6.16 6.335 6.1949997 6.3700004 6.1949997 6.3700004 6.23 6.405 6.23 6.405 6.23 6.405 6.23 6.405 6.23 6.405 6.23 6.405 6.23 6.405 6.23 6.405 6.1949997 6.405 6.16 6.405 6.09 6.44 6.0550003 6.44 6.02 6.44 5.985 6.44 5.9500003 6.475 5.915 6.475 5.8799996 6.475 5.845 6.475 5.81 6.475 5.81 Color blue Point 1.0 0.0 Color red Point 5.0 0.0 Color red Point 0.0 5.0 Color red

3.4) Solve rational and radical equations.

3.5) Solve abs. value equations and inequalities