3.2.1 Solving Two-Step and Multi-Step Inequalities - Worksheet

Example 1:

Solve each inequality and graph the solutions.

1. 2 m + 1 > 13

2. 2 d + 21 ≤ 11

3. 6 ≤ − 2 x + 2

4. 4 c − 7 > 5

− x 3 2 3

+ x 4 3

5.

6. 1 < 0.2 x − 0.7

7.

8. 2 x + 5 ≥ 2

7

4

≤

>−

Example 2:

Solve each inequality and graph the solutions.

1 4

2 3

3 4

9. 4( x + 2) > 6

10.

11. 4 − x + 6 2 ≥ 21

x

+ <

12. 4 − x > 3(4 − 2)

13. 0.2( x − 10) > − 1.8

14. 3( j + 41) ≤ 35

Example 3:

15. A sales representative is given a choice of two salary plans. One choice includes a monthly base pay $300 plus 10% commission on his sales. The second choice is a monthly salary of $1200. For what amount of sales would the representative make more money with the first plan?

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