Name
Date
Period
Solving Inequalities WS
Solve each inequality. Express the answer in inequality notation. Graph the solution.
1. -12x _> 24
2. 8x - 15 > 73
3. -18 - 5y >_ 52
4. 4(x-2)-6>18
5. 6x-13<6(x-2)
6. 615x- (3x- 1)] >_ 4(3x- 7)
7. -7(3x- 7) + 21x ÿ 50
8. 2-3x ÿ7(8-2x)+ 12
9.17- 2x < 5(7- 3x) - 15
10. 32(x- 12)
_<x+8
11. 3(x_12)> x-24
12. 314x- (2x- 7)] < 2(3x- 5)
13. The length of a picture frame is 3 inches greater than the width. The perimeter is less than 52
inches. Describe the dimensions of the frame.
14. The lengths of the sides of a triangle are in the ratio 5:6:7. Describe the length of the longest side
if the perimeter is not more than 54 cm.
15. Find the lesser of 2 consecutive integers with a sum greater than 16.
16. The cost of a field trip is $220 plus $7 per student. If the school can spend at most $500, how
many students can go on the field trip?
17. Less than 40 feet of fencing were used to enclose a rectangular lot that has a length 12 feet less
than 3 times its width. Describe the width of the lot.
18. A rectangular tablecloth is to be 18 inches longer than it is wide. If Erika has at most 244 inches of
lace trimming to sew around the cloth, what is the greatest possible width of the tablecloth.
19. A pentagon has two equal sides and three sides measuring 12 cm, 9 cm, and 13 cm. Find the length of
the two equal sides if the perimeter is 56 cm.
20. The length of a rectangular sign is 10 feet less than twice its width. Find the dimensions of the sign
if the perimeter is 118 feet.
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