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Inequalities: Symbols and Graphing on a Number Line

Total questions: 25

Worksheet time: 30mins

Name
Class
Date
1.
Greater than
a)
<
b)
>
c)
d)
2.
Less Than
a)
<
b)
>
c)
d)
3.
Less than or equal to
a)
<
b)
>
c)
d)
4.
Greater than or equal to
a)
<
b)
>
c)
d)
5.
What inequality does the number line graph represent?
a)
x > 5
b)
x < −5
c)
x ≥ 5
d)
x ≥ −5
6.
Match the graph with its inequality.
a)
a > 11
b)
a < 11
c)
a ≥ 11
d)
a ≤ 11
7.
When you graph an inequality, you use a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
c)
≤, <
d)
≥, >
8.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
c)
≤, <
d)
≥, >
9.
What are two solutions to x < 8?
a)
8.6, 7.9
b)
11, 16
c)
0.8, 5.9
d)
12, 7.1
10.
Write an inequality for this situation:
You are driving, and the maximum speed limit is 55.
a)
s < 55
b)
s > 55
c)
s ≤ 55
d)
s ≥ 55
11.

Mr. Gomez gets a notice from the bank when the amount in his checking account drops below $20. Which represents an amount that will require the bank to send a notice?

a)

$18

b)

$19

c)

$20

d)

$21

e)

$22

12.

You must spend at least $10 at the grocery store to get a free reusable shopping bag. Which inequality represents the amount you need to spend to get a free shopping bag?

a)

x<10

b)

x>10

c)

x>10

d)

x<10

13.

When the following inequality is graphed, what will it look like?


y>-1

a)

open circle

b)

closed circle

14.

When the following inequality is graphed, what will it look like?


r < -12.97

a)

open circle

b)

closed circle

15.

xx is ​ (a)   14

Choose from the below words

\le  

\ge
<<
>>
==
16.

Match the following inequalities with their solution:

a)

You must be 10 years or older to enter the park.

1.

x ≥ 10

b)

John sleeps a maximum of 10 hours each night.

2.

x ≤ 10

c)

You must get more than 10 questions correct.

3.

x > 10

d)

There are less than 10 chocolates in the bag.

4.

x < 10

17.

Which graph matches the inequality

k < 3?

a)

A

b)

B

c)

C

d)

D

18.
Which graph matches the inequality
r ≥ -6?
a)
A
b)
B
c)
C
d)
D
19.
When graphing b< 6 would you use an open or closed circle?
a)
Open
b)
closed
20.
When graphing b ≤ 6 would you use an open or closed circle?
a)
Open
b)
closed
21.

Pick the correct letter for:

x < 6

a)

A

b)

B

c)

C

d)

D

22.

Which graph matches the inequality

p < 2 ?

a)

A

b)

B

c)

C

d)

D

23.

Which graph represents all of the solutions to the inequality  r10r\ge10  ?

a)
b)
c)
d)
24.

Match each statement with the correct graph.

a)
1.

y < 6

b)
2.

y > 6

c)
3.

y ≤ 6

d)
4.

y ≥ 6

25.

Match the following inequality to its matching graph.

a)
1.

a number less than 18

b)
2.

a number less than or equal to 18

c)
3.

a number greater than or equal to 18