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Worksheets

Linear Inequalities

Total questions: 15

Worksheet time: 27mins

Name
Class
Date
1.

Which inequality symbol has a graph with a closed (shaded) circle?

a)

 <<  

b)

 \le  

2.

Which inequality symbol has a graph with an open (empty) circle?

a)

>>

b)

\ge

3.

What inequality does the number line graph represent?

a)

x ≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ -3

4.

What inequality does the number line graph represent?

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x < 4

5.
a)

A)

b)

B)

c)

C)

d)

D)

6.
a)
A)
b)
B)
c)
C)
d)
D)
7.

Does the sign need to flip when solving -2x ≥ 22 ?

a)

YES

b)

NO

8.

Solve x + 6 > 10

a)

x > 16

b)

x > -4

c)

x < -4

d)

x > 4

9.

Solve -13t > 26

a)

t > -2

b)

t > 2

c)

t < 2

d)

t < -2

10.

Solve x - 20 > - 30

a)

x < -10

b)

x < 10

c)

x > -10

d)

x > 10

11.

Solve - 24 + k ≤ 10

a)

k ≤ 14

b)

34 ≤ k

c)

k ≤ 34

d)

14 ≤ k

12.

Solve -7 + 10z > -27

a)

z < -2

b)

z > -34

c)

2 > z

d)

z > -2

13.

Solve 5z - 2 - 2z < 13

a)

z > 5

b)

z < 5

c)

z > 1

d)

z < 1

14.

Solve 6x + 10 > 5x - 12

a)

x > 2

b)

x < 2

c)

x < - 22

d)

x > - 22

15.

Solve - 2 ( x + 2 ) < 14

a)

x < - 5

b)

x > -5

c)

x < -9

d)

x > -9