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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) 

n
n
       
2)
x
x
     
3)
p
p

4) 
k
k
   
5) 

m
        
6)

(
x
)

   
7)

(
n
)

     
8) 

(
b
)
   
9) 

(

r
)
      
10)
(

r
)

 
11)

x
x

x
x
      
12)

x

x
       
-1-
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Worksheet by Kuta Software LLC
13)
a

a
    
14)

v

v
        
15)

n
n

n
n
        
16)
x
x
(
x
)
     
17)

n

(
n
)

n
      
18)
(
p
)

p

p
   
19)

k
(
k
)
     
20)

x

(

x
)
 
21)

(

k
)

(

k
)

        
22)

(

x
)

(
x
)

   
23)
(

x
)


x
   
24)

(

n
)

(

n
)
       
-2-
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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) 

n
n
       
n
2)
x
x
     
x
3)
p
p

p
4) 
k
k
   
k
5) 

m
        
m
6)

(
x
)

   
x
7)

(
n
)

     
n
8) 

(
b
)
   
b
9) 

(

r
)
      
r
10)
(

r
)

 
r
11)

x
x

x
x
      
x
12)

x

x
       
x
-1-
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Worksheet by Kuta Software LLC
13)
a

a
    
a
14)

v

v
        
v
15)

n
n

n
n
        
n
16)
x
x
(
x
)
     
x
17)

n

(
n
)

n
      
n
18)
(
p
)

p

p
   
p
19)

k
(
k
)
     
k
20)

x

(

x
)
 
x
21)

(

k
)

(

k
)

        
No solution.
22)

(

x
)

(
x
)

   
{ All real numbers. }
23)
(

x
)


x
   
No solution.
24)

(

n
)

(

n
)
       
{ All real numbers. }
-2-
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