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Interpret Solutions to Inequality

Total questions: 24

Worksheet time: 2hrs 0mins

Name
Class
Date
1.

Determine which number is a solution of the inequality.


32 + a > 44

a)

11

b)

12

c)

13

2.

Determine which number is a solution of the inequality.


15 - x ≤ 6

a)

9

b)

8

c)

7

3.

Determine which number is a solution of the inequality.

28 + r ≥ 60

a)

32

b)

31

c)

30

4.

Determine which number is a solution of the inequality.


49 - h > 8

a)

40

b)

41

c)

42

5.

Determine which number is a solution of the inequality.


16 - n ≤ 1

a)

13

b)

14

c)

15

6.

Determine which number is a solution of the inequality.


9 + j ≥ 36

a)

25

b)

26

c)

27

7.

Is the given value a solution of the inequality?


9 - g ≥ 3; g = 5

a)

yes

b)

no

8.

Is the given value a solution of the inequality?


42 + h < 53; h = 10

a)

yes

b)

no

9.

Is the given value a solution of the inequality?


k - 22 ≥ 20; k = 38

a)

yes

b)

no

10.

Is the given value a solution of the inequality?


t + 12 > 70; t = 55

a)

yes

b)

no

11.

Is the given value a solution of the inequality?


88 + m > 100; m = 11

a)

yes

b)

no

12.

Is the given value a solution of the inequality?


12p ≤ 76; p = 6

a)

yes

b)

no

13.

The local Lions Club sold raffle tickets

for a new golf cart. The sales for each week

are given in the table. If more than 250 tickets

are sold, then the Lions Club raised enough for

the golf cart. Use the inequality t > 250,

where t represents the number of tickets sold,

to determine the weeks in which they raised

enough money.

a)

week 1

b)

week 2

c)

week 3

d)

week 4

14.

The track coach records the number of laps

the team runs each day for a week in the table to

the right. If the team runs at most 10 laps each day,

then they have to practice Saturday. Use the

inequality  ≤ 10, where  represents the number

of laps the team runs, to determine which days

they did not run the required number of laps.

a)

Monday

b)

Tuesday

c)

Wednesday

d)

Thursday

e)

Friday

15.
x < 1
a)
x is less than 1
b)
x is less than or equal to 1
c)
x is greater than 1
d)
x is greater than or equal to 1
16.
x > 1
a)
x is less than 1
b)
x is less than or equal to 1
c)
x is greater than 1
d)
x is greater than or equal to 1
17.
x ≤ 1
a)
x is less than 1
b)
x is less than or equal to 1
c)
x is greater than 1
d)
x is greater than or equal to 1
18.
x ≥ 1
a)
x is less than 1
b)
x is less than or equal to 1
c)
x is greater than 1
d)
x is greater than or equal to 1
19.
If x > 2, then a possible solution for x is...
a)
0
b)
3 1/2
c)
0.19
d)
1
20.
If x ≤ 55 , then a possible solution for x is...
a)
55
b)
56
c)
88.22
d)
100.44
21.
If x > 11  then a possible set of solutions for x is...
a)
¾ , 0.8, 1
b)
11, 19, 30
c)
80, 100  
22.
If 15 > x - 1  then a possible set of solutions for x is...
a)
1, 7, 15
b)
19, 22, 30
c)
80, 100  
23.
If 3x ≥ 15  then a possible set of solutions for x is...
a)
1, 4
b)
2, 3
c)
5, 6, 7  
24.
An inequality has how many solutions?
a)
Zero solutions
b)
One solution
c)
Infinite solutions