NAME ___________________________________________________ DATE _____________________ PERIOD __________
Lesson 7 Homework Practice
Solving Inequalities
Solve each inequality. Check your solutions.
1. -6 ≥ g + 4
2. 15 + d > 10
g ≤ -10
d > -5
4. -13 < k - (-16)
3. p + (-8) ≤ -12
p ≤ -4
5. -1 + s ≤ 5
k > -29
6. 12 > w - (-0.3)
s≤6
7
7. -1 −
< d + (-2)
8
1
d>−
8
w < 11.7
1
1
9. b - −
< 3−
5
10
3
b<3−
10
8. z - 0.9 > -4.8
z > -3.9
Solve each inequality. Graph each solution on a number line.
g
-4
g ≥ -96
10. 24 ≥ −
-98
-97
-96
-95
11. -78 > 6h h < -13
f
12. − < -12 f > 60
-5
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58
59
60
-15
-94
61
-27
62
p
-50
-49
-47
-11
-26
-25
-24
-23
-3.5
12
13
14
15
16
c
17. -3 ≤ −
c ≤ 4.5
b > -48
-48
-12
c
15. -4 > −
c > 14
-218 -217 -216 -215 -214
1
-13
13. 100 ≥ -4s s ≥ -25
14. − < 6 p > -216
-36
16. -24 < −
b
2
-14
-1.5
-46
2
3
4
5
6
18. A certain minivan has a maximum carrying capacity of 1200 pounds. If the luggage weighs
150 pounds, what is the maximum weight allowable for passengers? 1050 lb
19. To qualify for a store discount, Jorge’s soccer team must spend at least $560 for new jerseys.
The team needs 20 jerseys.
a. Write an inequality to represent how much the team should spend on each jersey to qualify
for the discount. 20p ≥ 560
b. How much should the team spend for each jersey? $28 or more
Math Accelerated • Chapter 8 Equations and Inequalities