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Remote Compound Inequalities Practice

Total questions: 15

Worksheet time: 2hrs 53mins

Name
Class
Date
1.

-2 < x - 9 < 3

a)

x < 12

b)

7 < x

c)

7 < x < 12

2.
Solve and graph:
a)
A
b)
B
c)
C
d)
D
3.
Solve:
a)
A
b)
B
c)
C
d)
D
4.

Write an inequality for Graph 3.

a)

5 < x ≤ -2

b)

x ≤ -2 OR x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x < 5

5.

0 < x + 7 < 9

a)

-7< x <2

b)

-7< x or x<2

c)

2 < x < -7

d)

-7>x or x>2

6.

What inequality is graphed?

a)

2 < x ≤ -3

b)

2 < x < -3

c)

x > 2 or x ≤ -3

d)

x > 2 or x < -3

7.
Solve:  -3 ≤ 2x - 1 ≤ 5
a)
-1 ≤ x ≤ 3
b)
-1 < x < 3
c)
1 < x < 3
d)
1 ≤ x ≤ 3
8.

Write an inequality for Graph 3.

a)

5 < x ≤ -2

b)

x ≤ -2 OR x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x < 5

9.
3x-4< -13 or 7x+1> 22
a)
All Real numbers
b)
  x>3   and x>-9
c)
The answer is not listed
d)
x<-3   or x>3
10.

Solve: -3 ≤ 2x - 1 ≤ 5

a)

-1 ≤ x ≤ 3

b)

-2 ≤ x ≤ 6

c)

-3 ≤ x ≤ 3

d)

1 ≤ x ≤ 3

11.
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
12.
Write an inequality for Graph 4.
a)
-2 < x < 5
b)
x < -2 or x > 5
c)
x ≥ -2 OR x < 5
d)
-2 ≤ x ≤ 5
13.
Solve:  
3x + 2 < -4  or  4x + 4 > 24
a)
x < -2  or  x > 5 
b)
x < 2  or  x > 5
c)
x < -2  and  x > 5 
d)
x < 2  and  x > 5
14.
Solve: 
3x + 2 < -7  or  -4x + 5 < 1
a)
x < -3  and  x < 1
b)
x < -3  and  x > 1
c)
x < -3  or  x < 1
d)
x < -3  or  x > 1
15.
Solve:  -3 ≤ 2x - 1 ≤ 5
a)
-1 ≤ x ≤ 3
b)
-1 < x < 3
c)
1 < x < 3
d)
1 ≤ x ≤ 3