1. 3.6 Solving Absolute Value Equations and Inequalities

2. Solve the equation.
|x + 2| = 3

3. Answer
x = -1 x = -5

4. Solve the equation.
|2x|+3 = 21

5. Answer
x = -9 x = 9

6. Solve the equation.
|-3x|- 2 = 7

7. Answer
x = -3 x = 3

8. Solve the equation.
-2|x – 4| = -8

9. Answer
x = 8 x = 0

10. Solve the inequality and graph the solution.
|x + 8| > 3

11. Answer
x > -5 OR x < -11

12. Solve the inequality and graph the solution.
|3x + 1| > 8

13. Answer
x > 7/3 OR x < -3

14. Solve the inequality and graph the solution.
|5x – 4| < 16

15. Answer
x > -12/5 AND x < 4

16. Solve the inequality and graph the solution.
|2x-5|< 9

17. Answer
x > -2 AND x < 7

18. Solve the equation.
|5x + 2| = -4

19. Answer
NO SOLUTION

20. Solve the equation.
-8|x - 6| = -64

21. Answer
x = 14 x = -2