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Compound Inequality Review

Total questions: 16

Worksheet time: 53mins

Name
Class
Date
1.

What inequality is graphed?

a)

2 < x ≤ -3

b)

2 < x < -3

c)

x > 2 or x ≤ -3

d)

x > 2 or x < -3

2.

Select the correct inequality for the graph.

a)

-1 ≤ x < 6

b)

1 ≤ x < 6

c)

1 < x ≤ 6

d)

x ≤ 1 or x > 6

3.

-2 < x - 9 < 3

a)

x < 12

b)

7 < x

c)

7 < x < 12

d)

x > 7 or x < 12

4.
x+2<-4 or -5x<-15
a)
-6<x<3
b)
x<-3 and x>6
c)
x<-6 or x>3
d)
No Solution
5.
Every day, a man needs to eat more than 1800 but less than 1900 calories. Write an inequality representing the possible amount of calories you could get.
a)
 1800 ≤ c ≤ 1900
b)
1800 ≤ c < 1900
c)
1800 < c ≤ 1900
d)
1800 < c < 1900
6.

−6 < 2t − 5 < 3

a)

−0.5 < t < 4

b)

0.5 < t < −1

c)

−11/2 < t < 2

d)

11/2 < t < −2

7.

Solve the following inequality. If the solution is a combination of two inequalities, separate them by a comma.

3n+6>12   or   4n−4<−8

(a)  

8.

Solve the following compound inequality. Express your solution in interval notation.

−11<−2x−7≤−7  

(a)  

9.

Solve:  |x + 3| < 8

a)
x > 5 or x < -11
b)

-11 < x < 5

c)

x > 11 or x < -5

d)

5 < x < 11

10.
Solve:
 |x + 3| > 8
a)
x > 5 or x < -11
b)

-11 < x < 5

c)

x > 11 or x < -5

d)

-5 < x < 11

11.

Solve:  |2x - 1| ≥ 19

a)

x 9 or x ≤ -10

b)

-10 ≤ x ≤ 9

c)

x ≥ 10 or x ≤ -9

d)

-9 ≤ x ≤ 10

12.

Solve:  |k| < -8

a)

x > 8 or x < -8

b)

-8 < k < 8

c)

No solution

d)

Infinite solution

13.
Solve the absolute Value inequality and graph. 
a)
A
b)
B
c)
C
d)
D
14.

Solve the following inequality and express your solution in interval notation.

32+x<13-\left|2+x\right|<1   

(a)  

15.

Solve the following inequality and express your solution in interval notation.

2342x8-2-3\left|4-2x\right|\ge-8  

(a)  

16.

10+2x8\left|-10+2x\right|\ge8  

Solve the inequality and express your solution in interval notation.

(a)