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?
170
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