This document provides a review for a quiz on solving inequalities. It contains 11 practice problems involving solving linear inequalities algebraically and graphing their solutions on number lines. The problems cover solving single-variable inequalities for x, compound inequalities, and choosing the graph that represents the solution set of a given inequality.

1. Review for Quiz: Inequalities Review for Quiz: Inequalities
Solve each inequality: Solve each inequality:
1. 2 x < 8 1. 2 x < 8
a. x < 4 b. x < −4 c. x > 4 d. x > −4 a. x < 4 b. x < −4 c. x > 4 d. x > −4
2. − 2 x < 8 2. − 2 x < 8
a. x < 4 b. x < −4 c. x>4 d. x > −4 a. x < 4 b. x < −4 c. x>4 d. x > −4
3. 2 x < −8 3. 2 x < −8
a. x < 4 b. x < −4 c. x > 4 d. x > −4 a. x < 4 b. x < −4 c. x > 4 d. x > −4
4. − 2 x < −8 4. − 2 x < −8
a. x < 4 b. x < −4 c. x>4 d. x > −4 a. x < 4 b. x < −4 c. x>4 d. x > −4
5. 3x − 8 ≤ 5 x + 10 5. 3x − 8 ≤ 5 x + 10
6. 10 − x ≥ 4 6. 10 − x ≥ 4
7. 4 x − 8 ≤ −12 7. 4 x − 8 ≤ −12
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Graph the solution: Graph the solution:
8. x > 3 8. x > 3
-3 -2 -1 0 1 2 3 4 5 6 7 -3 -2 -1 0 1 2 3 4 5 6 7
9. − 3x + 5 ≥ 11 9. − 3x + 5 ≥ 11
-3 -2 -1 0 1 2 3 4 5 6 7 -3 -2 -1 0 1 2 3 4 5 6 7
10. Choose the graph of the solution to the inequality: 10. Choose the graph of the solution to the inequality:
3x − 8 < −5 3x − 8 < −5
A. -3 -2 -1 0 1 2 3 4 5 6 7 A. -3 -2 -1 0 1 2 3 4 5 6 7
B. B.
-3 -2 -1 0 1 2 3 4 5 6 7 -3 -2 -1 0 1 2 3 4 5 6 7
C. C.
-3 -2 -1 0 1 2 3 4 5 6 7 -3 -2 -1 0 1 2 3 4 5 6 7
D. D.
-3 -2 -1 0 1 2 3 4 5 6 7 -3 -2 -1 0 1 2 3 4 5 6 7
11. Graph the solution to x − 4 < 6 x + 10 11. Graph the solution to x − 4 < 6 x + 10
-3 -2 -1 0 1 2 3 4 5 6 7 -3 -2 -1 0 1 2 3 4 5 6 7