Algebra 2 Companion Book, Volume 1

2.2.3 Solving Absolute-Value Equations and Inequalities − Worksheet

Example 1: Solve each compound inequality. Then graph the solution set. 1. x − 7 > − 3 OR 5 x ≤ − 15 2. 3 x ≤ 18 AND x + 4 > 2

3. x − 2 > − 5 OR 5 x ≥ 25

Example 2: Solve each equation. 4. | x + 5| = 2

5. |2 x | − 6 = 4

6. | − x | + 4 = 7

Example 3: Solve each inequality. Then graph the solution set. 7. |2 x − 3| ≥ 5 8. 2| x − 3| > 8

9. |3 x | + 8 > 5

Example 4: Solve each inequality. Then graph the solution set. 10. 11. |9 − 3 x | ≤ 6 +

x |4 8| 3

12. − 5| x − 3| ≥ 15

8

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