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Practice solving open sentences with absolute value and graphing solutions. Includes changing inequality signs and solving special cases.
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Warm ups – solve and graph • |x + 4| = 20 • |4 – x| < 11 • |2x + 3| < 7 • |2x – 1| < -5
7-6 Absolute Value“>” Objective: to solve open sentences involving absolute value and graph their solutions. Standards 3.0, 25.0
“>” = OR Great”OR” is “OR” • Change: • Inequality sign • Make number after “>” negative |2y + 5| > 3 2y + 5 > 3 or 2y + 5 < -3
Example 2 • Change: • Inequality sign • Make number after “>” negative |8 - t| > 3 8 - t > 3 or 8 - t < -3
Special Cases • |3y – 9| > 0 • |y + 10| > -2 All numbers
TOO • |w + 8| > 1 • |x - 9| > 0 • |1 – 3y| > 2 • |4t + 8| > -6
Working backwards… • Given the graph, you come up with inequality involving absolute value… |x-middle #| Distance to middle and? or?
TOO • Given the graph, you come up with inequality involving absolute value… |x-middle #| Distance to middle and? or?
Homework • Pg. 424 # 20, 22, 27, 28, 32, 33, 38-43