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Worksheet by Kuta Software LLC
Infinite Algebra 1 Name___________________________________
Period____Date________________
Multi-Step Inequalities
Solve each inequality and graph its solution.
1)
−3
x
+ 2
x
≤ 6
−9 −8 −7 −6 −5 −4
2)
3 − 6
n
− 4 < 17
−8 −7 −6 −5 −4 −3 −2 −1 0
3)
n
− 3 + 4 > 7
3 4 5 6 7 8 9 10
4) 0 <
n
− 1 + 6
−10 −9 −8 −7 −6 −5 −4 −3 −2 −1 0
5)
−3
x
− 2
x
< 5
−3 −2 −1 0 1 2 3 4
6)
−
(
2 + 2
m
)
− 2 > 6
−8 −7 −6 −5 −4 −3 −2 −1
7) −9 ≥
−8
(
1 + 6
v
)
− 1
−3 −2 −1 0 1 2
8)
8
(
1 − 4
x
)
> 40
−6 −5 −4 −3 −2 −1 0 1 2
9)
4
(
8 − 2
b
)
− 2
b
≤ 32
−3 −2 −1 0 1 2
10)
5
x
−
7
(
x
+ 1
)
> −9
−4 −3 −2 −1 0 1 2 3 4 5
11)
−
p
+ 6
p
≤
4 +
6
p
−8 −7 −6 −5 −4 −3 −2
12)
5 +
4
x
≥
x
+ 8
−2 −1 0 1 2 3
-1-
