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Worksheets

Inequalities

Total questions: 25

Worksheet time: 55mins

Name
Class
Date
1.

What is the meaning for  <<   , and what would the graph look like on the number line?

a)

Less than; open dot and shaded to the left

b)

Greater than; open dot and shaded to the right

c)

Less than or equal to; closed dot and shaded to the left

d)

Greater than or equal to; closed dot and shaded to the right

2.

What is the meaning for  >>  , and what would the graph look like on the number line?

a)

Less than; open dot and shaded to the left

b)

Greater than; open dot and shaded to the right

c)

Less than or equal to; closed dot and shaded to the left

d)

Greater than or equal to; closed dot and shaded to the right

3.

What is the meaning for  \le  , and what would the graph look like on the number line?

a)

Less than; open dot and shaded to the left

b)

Greater than; open dot and shaded to the right

c)

Less than or equal to; closed dot and shaded to the left

d)

Greater than or equal to; closed dot and shaded to the right

4.

What is the meaning for  \ge  , and what would the graph look like on the number line?

a)

Less than; open dot and shaded to the left

b)

Greater than; open dot and shaded to the right

c)

Less than or equal to; closed dot and shaded to the left

d)

Greater than or equal to; closed dot and shaded to the right

5.
a)
q≤46
b)
q<46
c)
q≥46
d)
q<46
6.
a)
y<139
b)
y≥55
c)
y>55
d)
y≤139
7.

15 > z - 5

a)

z < 20

b)

z > 20

c)

z > 10

d)

10 > z

8.
10 ≥ x - 3
a)
x ≤ 13
b)
x ≥ 13
c)
x ≤ 7
d)
x ≥ 7
9.
Solve the inequality.
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8 
d)
x ≤ 18 
10.
24 ≤ h + 15
a)
h ≥ -9
b)
h ≥ 9
c)
h ≤ 9
d)
h ≤ 39
11.

Solve:   b2<7\frac{b}{2}<7  


a)

b < 14

b)

b < 3.5

c)

b < 5

d)

b < 9

12.
8x < 48
a)
x < -6
b)
x > -6
c)
x < 6
d)
x > 6
13.
Solve: -2x ≤ 14
a)
x ≤ 7
b)
x ≤ -7
c)
x ≥ 7
d)
x ≥ -7
14.

solve:

 x26\frac{x}{2}\ge6  

a)

 x3x\ge3  

b)

 x4x\ge4  

c)

 x36x\ge36  

d)

 x12x\ge12  

15.

solve:

 4x<164x<-16  

a)

x > -4

b)

x < -4

c)

x < 12

d)

x < 4

16.
Solve 
-9h > (-63)
a)
h < 7
b)
h > 7
c)
h < -7
d)
h > -7
17.

Select the inequality shown

a)

x > -3

b)

x ≥ -3

c)

x < -3

d)

x ≤ -3

18.

Select the inequality shown

a)

x > 0

b)

x ≥ 0

c)

x < 0

d)

x ≤ 0

19.

Select the inequality shown

a)

x > -5

b)

x ≥ -5

c)

x < -5

d)

x ≤ -5

20.

Select the inequality shown

a)

x > 5

b)

x ≥ 5

c)

x < 5

d)

x ≤ 5

21.

Select the inequality shown

a)

x > 1

b)

x ≥ 1

c)

x < 1

d)

x ≤ 1

22.
Match the graph with its inequality.
a)
a > 11
b)
a < 11
c)
a ≥ 11
d)
a ≤ 11
23.
What inequality does the number line graph represent?
a)
x ≤ -4
b)
x ≥ -4
c)
x < -4
d)
x < 4
24.

Solve for k:

 7k297k-2\ge-9  


a)

k ≤ -1

b)

k ≤ 1

c)

k ≥ 1

d)

k ≥ -1

25.

22 < 6c + 4

a)

c < 11

b)

c < 3

c)

c > 11

d)

c > 3