1. Solve absolute value equations in 1 var. Solve absolute value inequalities in 1 var The learner will

2. How to solve an absolute value equation If = 6….then x could be either ______ or _______ To solve this absolute value equation…. X–2 could equal ______ o r ______ +2 +2 X = {-3, 7} x – 2 = -5 or x – 2 = 5 -6 5-5 6

3. Solve/Graph Absolute Value Equations

4. Remember : When we solved absolute value equations we had to write TWO equations and solve We will do the same with absolute value inequalities And here is a trick which will help today: < ….. Is less than….think….is less thAND >……is greater than….think…..is greatOR than How to solve absolute value inequalities

5. Solve! |-2x +7| + 5 ≥ 14 x ≤ -1 OR x ≥ 8 - 5 |-2x +7| ≥ 9 -2x + 7 ≥ 9 or -2x + 7 ≤ -9 - 7 -2x ≥ 2 or -2x ≤ -16 - 2

6. Solve/Graph Absolute Value Inequalities