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Inequalities- Variables on Both Sides

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

Find the solution to the inequality:  6x+2<10+4x6x+2<10+4x  

a)

 x<4x<4  

b)

 x<8x<8  

c)

 x>4x>4  

d)

 x>8x>8  

2.

Solve for n: −2n−3<2n+9-2n-3<2n+9  

a)

 n<−3n<-3  

b)

 n<3n<3  

c)

 n>−3n>-3  

d)

 n>3n>3  

3.

Select ALL TWO that are true solutions for the inequality:
 6y+11<2−3y6y+11<2-3y  

a)

-1

b)

0

c)

1

d)

-2

e)

-3

4.

Choose the correct solution for the inequality:
 −3m+10>4−6m-3m+10>4-6m  

a)
b)
c)
d)
5.

Choose the correct solution to the inequality:
 −3+3n−2n>−6−2n-3+3n-2n>-6-2n  

a)

 n>1n>1  

b)

 n>−1n>-1  

c)

 n<1n<1  

d)

 n<−1n<-1  

6.

Choose the solution that matches the inequality:
 m+4+2m≥4m+7m+4+2m\ge4m+7  

a)
b)
c)
d)
7.

Select ALL 3 that are true solutions:
 −n+5n≤6n+4-n+5n\le6n+4  

a)

-2

b)

-4

c)

-1

d)

5

e)

-8

8.

Find the solution to the inequality:
 4−5y≥10−3y4-5y\ge10-3y  

a)

 y≤3y\le3  

b)

 y≤−3y\le-3  

c)

 y≥3y\ge3  

d)

 y≥−3y\ge-3  

9.

Find the solution to the inequality:
 25−12x≥1−10x25-12x\ge1-10x  

a)

 x≥−12x\ge-12  

b)

 x≥12x\ge12  

c)

 x≤−12x\le-12  

d)

 x≤12x\le12  

10.

Choose the solution that matches the inequality:
 w−4−5−20≥7w+13w-4-5-20\ge7w+13  

a)
b)
c)
d)