Free Printable Inequalities Study Guide

1.

15 ÷ 3 - (-6) =

a)

11

b)

5

c)

-11

2.

2 x (-6) x 3 =

a)

36

b)

-36

3.

4 x (-8) =

a)

32

b)

-32

4.

-4 x (-5) x 7 =

a)

140

b)

-140

5.

16 X (-7) =

a)

112

b)

-112

6.

-7 X 6 =

a)

-42

b)

42

7.

$-144\ \div\ -8\ =$

a)

12

b)

18

c)

-16

d)

-18

8.

$-8\ \times\ 13\ =$

a)

-104

b)

-94

c)

94

d)

104

9.

$-9\ \times-12\ =$

a)

-108

b)

-72

c)

72

d)

108

10.

Match the graph with its inequality.

a)

a > 11

b)

a < 11

c)

a ≥ 11

d)

a ≤ 11

11.

What inequality does the number line graph represent?

a)

x > 5

b)

x < −5

c)

x ≥ 5

d)

x ≥ −5

12.

Select the inequality shown

a)

x > 0

b)

x ≥ 0

c)

x < 0

d)

x ≤ 0

13.

Select the inequality shown

a)

x > -5

b)

x ≥ -5

c)

x < -5

d)

x ≤ -5

14.

Select the inequality shown

a)

x > -3

b)

x ≥ -3

c)

x < -3

d)

x ≤ -3

15.

Select the inequality shown

a)

x > -2

b)

x ≥ -2

c)

x < -2

d)

x ≤ -2

16.

Select the inequality shown

a)

x > 0

b)

x ≥ 0

c)

x < 0

d)

x ≤ 0

17.

Select the inequality shown

a)

x > 5

b)

x ≥ 5

c)

x < 5

d)

x ≤ 5

18.

Select the inequality shown

a)

x > 1

b)

x ≥ 1

c)

x < 1

d)

x ≤ 1

19.

Select the inequality shown

a)

x > 1

b)

x ≥ 1

c)

x < 1

d)

x ≤ 1

20.

4x<8

a)

x<32

b)

x<2

c)

x<4

d)

x>2

21.

5x<100

a)

x<20

b)

x<2

c)

x<40

d)

x>5

22.

8x>160

a)

x>20

b)

x<20

c)

x>19

d)

x>15

23.

-8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

24.

Solve the inequality.

-5n ≥ 50

a)

n > 10

b)

n ≥ -10

c)

n < 10

d)

n ≤-10

25.

-6x < 90

a)

x < -15

b)

x > -15

c)

x < 15

d)

x > 15

26.

Solve the inequality.

x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

27.

4x + 1 > 13

a)

x > 48

b)

x < 3

c)

x > 3.5

d)

x > 3

28.

5x - 1 > 19

a)

x > 4

b)

x < 3

c)

x > 3.5

d)

x > 3

29.

Rewrite each statement using >, <, ≥, ≤.

a)

w > 17

b)

w ≤ 17

c)

w < 17

d)

w ≥ 17

30.

Rewrite each statement using >, <, ≥, ≤.

a)

d > 10

b)

d ≤ 10

c)

d< 10

d)

d ≥ 10

31.

Rewrite each statement using >, <, ≥, ≤.

a)

d > 10

b)

d ≤ 10

c)

d< 10

d)

d ≥ 10

32.

Choose the correct graph.

a)

A

b)

B

c)

F

d)

H

33.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

34.

Solve:
20< 4x

a)

x> 5

b)

x< 5

c)

x> 16

d)

x>24

35.

a)

A

b)

B

c)

C

d)

D

36.

Write an inequality for Graph 2.

a)

-2 ≤ x < 5

b)

x ≤ -2 AND x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x ≤ 5

37.

Write an inequality for Graph 2.

a)

-2 ≤ x < 5

b)

x ≤ -2 AND x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x ≤ 5

38.

How do you write "x is less than 4" in symbols?

a)

x > 4

b)

x < 4

c)

x ≤ 4

d)

x ≥ 4

39.

How do you say y ≥ -5 ?

a)

y is less than -5

b)

y is greater than -5

c)

y is less than or equal to -5

d)

y is greater than or equal to -5

40.

Which graph shows x > 12 in blue?

a)

a

b)

b

c)

c

d)

d

41.

Write an inequality for the graph.

a)

x<3

b)

x>3

c)

x ≤ 3

d)

x ≥ 3

42.

Which graph shows 3 > x in blue?

a)

a

b)

b

c)

c

d)

d

43.

Write an inequality for the graph.

a)

x ≥ 2

b)

x > 2

c)

x ≤ 2

d)

x < 2

44.

Which graph shows -2 ≤ x in blue?

a)

a

b)

b

c)

c

d)

d

45.

Which graph shows x ≤ -15 in blue?

a)

a

b)

b

c)

c

d)

d

46.

Write an inequality for the graph.

a)

x < 1

b)

x > 1

c)

x ≤ 1

d)

x ≥ 1

47.

Write an inequality for the graph.

a)

x < 4

b)

x > 4

c)

x ≤ 4

d)

x ≥ 4

48.

Which number is a solution to the inequality 4 < x ?

a)

3

b)

4

c)

5

d)

None of the above.

49.

Write an inequality for the graph.

a)

x > -1

b)

x < 2

c)

x > -1 and x < 2

d)

-1 < x < 2

50.

Which inequality describes the graph?

a)

k is greater than -4

b)

k is less than -4

c)

k is greater than or equal to -4

d)

k is less than or equal to -4

51.

Write an inequality for the graph.

a)

x < 1 or x > 0

b)

x < -1 or x ≥ 0

c)

x ≤ -1 or x > 0

d)

-1 < x < 0

52.

Graph the inequality "n is less than 2" in blue.

a)

a

b)

b

c)

c

d)

d

53.

Write an inequality for the graph.

a)

x < 2

b)

x > 2

c)

x < 2 or x > 2

d)

x ≠ 2

54.

Fewer Than

a)

<

b)

>

c)

≤

d)

≥

55.

No More Than

a)

<

b)

>

c)

≤

d)

≥

56.

At Least

a)

<

b)

>

c)

≤

d)

≥

57.

More Than

a)

<

b)

>

c)

≤

d)

≥

58.

No Fewer Than

a)

<

b)

>

c)

≤

d)

≥

59.

Below

a)

<

b)

>

c)

≤

d)

≥

60.

Not Above

a)

<

b)

>

c)

≤

d)

≥

61.

Not Below

a)

<

b)

>

c)

≤

d)

≥

62.

Less Than

a)

<

b)

>

c)

≤

d)

≥

63.

At Most

a)

<

b)

>

c)

≤

d)

≥

64.

Above

a)

<

b)

>

c)

≤

d)

≥

65.

Greater

a)

<

b)

>

c)

≤

d)

≥

66.

Not Below

a)

<

b)

>

c)

≤

d)

≥

67.

Exceeding

a)

<

b)

>

c)

≤

d)

≥

68.

You must be older than 12 years old to ride the go-karts.

a)

a > 12

b)

a < 12

c)

a > 12

d)

a < 12

e)

a = 12

69.

You must be at least 16 years old to have a driver’s license.

a)

d > 16

b)

d < 16

c)

d > 16

d)

d < 16

e)

d = 16

70.

Swim practice will be no more than 35 laps.

a)

L > 35

b)

L < 35

c)

L > 35

d)

L < 35

e)

L = 35

71.

More than 800 fans attended the opening soccer game.

a)

f > 800

b)

f < 800

c)

f > 800

d)

f < 800

e)

f = 800

72.

Mrs. Smith is 42 years old.

a)

m > 42

b)

m < 42

c)

m > 42

d)

m < 42

e)

m = 42

73.

To use one stamp, your letter must be under 3.5 ounces.

a)

L > 3.5

b)

L < 3.5

c)

L > 3.5

d)

L < 3.5

e)

L = 3.5

74.

It is not safe to use a light bulb of more than 60 watts in this light fixture.

a)

w > 60

b)

w < 60

c)

w > 60

d)

w < 60

e)

w = 60

75.

The maximum amount of weight that an elevator can hold is 2,000 pounds.

a)

p > 2,000

b)

p < 2,000

c)

p > 2,000

d)

p < 2,000

e)

p = 2,000

76.

$-1>x$

a)

b)

c)

d)

77.

$x\ge-6$

a)

b)

c)

d)

78.

What inequality does the number line graph represent?

a)

x ≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ 3

79.

What inequality does the number line graph represent?

a)

x ≤ -4

b)

x ≥ -4

c)

x < -4

d)

x < 4

80.

Which figure shows the inequality x > -4?

a)

Figure 1

b)

Figure 2

c)

Figure 3

d)

Figure 4

81.

What is the correct inequality of the graph above?

a)

t < 4

b)

t > 4

c)

t ≤ 4

d)

t ≥ 4

82.

Which graph above shows the solution to the inequality s ≥ -2?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

83.

Which figure shows the inequality x > -4?

a)

Figure 1

b)

Figure 2

c)

Figure 3

d)

Figure 4

84.

What is the correct inequality of the graph above?

a)

t < 4

b)

t > 4

c)

t ≤ 4

d)

t ≥ 4

85.

Which graph above shows the solution to the inequality s ≥ -2?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

86.

Which inequality is represented above?

a)

y ≤ -3

b)

y ≥ -3

c)

y < -3

d)

y > -3

87.

a)

1

b)

2

c)

3

d)

4

88.

Which choice would be a solution to the inequality shown above?

a)

3.5

b)

2.5

c)

1.5

89.

Which inequality below is represented by the graph above?

a)

s < -4

b)

s ≤ -4

c)

s > -4

d)

s ≥ -4

90.

Which inequality symbol would create a graph of the solution above?

a)

≥

b)

≤

c)

<

d)

>

91.

Which choice below is represented by the graph above?

a)

Less Than

b)

At Most

c)

Not Equal To

d)

Greater Than or Equal To

92.

Which of the following would have a closed circle when graphed on a numberline?

a)

Greater Than

b)

At Least

c)

Not Equal To

d)

More Than

93.

John needs at least an 80 on his next test in Math class to pass this marking period. Which inequality shows what John needs on his test to pass this marking period?

a)

J > 80

b)

J < 80

c)

J ≥ 80

d)

J ≤ 80

94.

The minimum height a person must be to ride the Superman Roller-coaster is 54 inches. Which inequality can be used to show this?

a)

S > 54 inches

b)

S ≥ 54 inches

c)

S < 54 inches

d)

S ≤ 54 inches

95.

It is not safe to use a light bulb of more than 60 watts in certain light fixtures. Represent this as an inequality.

a)

L < 60

b)

L > 60

c)

L ≤ 60

d)

L ≥ 60

96.

The Navy’s flying squad, the Blue Angels, makes more than 75 appearances each year. Represent this as an inequality.

a)

n < 75

b)

n > 75

c)

n ≤ 75

d)

n ≥ 75

97.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

98.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

99.

What inequality does the number line graph represent?

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x < 4

100.

x>5

a)

x is greater than 5

b)

x is less than 5

c)

x is zero

d)

x is greater than or equal to five

101.

Solve the following inequality:
4x + 14 ≤ 54

a)

x ≥ -10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

102.

Which of the following inequalities would require you to flip the sign when solving?

a)

2x < 3

b)

3x > - 9

c)

-4x ≥ 10

d)

5x ≤ 15

103.

When graphing b< 6 would you use an open or closed circle?

a)

Open

b)

closed

104.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

105.

x is smaller than 9

a)

x < 9

b)

9 < x

106.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

107.

Solve for k.
2k - 9≤ -19

a)

k ≤ -5

b)

k ≤ 5

c)

k < -5

d)

k < 5

108.

-8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

109.

Which figure shows the inequality x > -4?

a)

Figure 1

b)

Figure 2

c)

Figure 3

d)

Figure 4

110.

What is the correct inequality of the graph above?

a)

t < 4

b)

t > 4

c)

t ≤ 4

d)

t ≥ 4

111.

Which graph above shows the solution to the inequality s ≥ -2?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

112.

Which inequality is represented above?

a)

y ≤ -3

b)

y ≥ -3

c)

y < -3

d)

y > -3

113.

-8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

114.

f - 6 ≥ 12

a)

f = 18

b)

f ≥ 18

c)

f ≥ -18

d)

f ≤ 18

115.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

116.

10 < 3x + 19

a)

x < 3

b)

x > 3

c)

x < -3

d)

x > -3

117.

10 ≥ x - 3

a)

x ≤ 13

b)

x ≥ 13

c)

x ≤ 7

d)

x ≥ 7

118.

Which is the solution of
-6a ≥ -36

a)

a ≥ 6

b)

-6 ≥ a

c)

a ≤ 6

d)

6 ≤ a

119.

Which is the solution of
-22 > 4j - 10

a)

-8 > j

b)

j > -8

c)

-3 < j

d)

j < -3

120.

What inequality does the number line graph represent?

a)

x ≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ 3

121.

What inequality does the number line graph represent?

a)

x > 5

b)

x < −5

c)

x ≥ 5

d)

x ≥ −5

122.

What is the first step?

a)

Get absolute value alone by subtracting 5 from both sides

b)

Get absolute value alone by dividing by 5 on both sides

c)

Split into two equations

123.

Solve and graph:

a)

A

b)

B

c)

C

d)

D

124.

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

125.

Solve.
5 + |3v| > 20

a)

v>5 or v<-5

b)

v≥5 or v≤-5

c)

v>-5 or v<5

d)

all real numbers

126.

Solve.
-5|4 +n| < -15

a)

n > 1 or n < -7

b)

n > -1 or n < -7

c)

-7 < n < -1

d)

no solution

127.

Solve.
| -x - 10| + 4 < -8

a)

no solution

b)

x > 2 or x < -22

c)

-22 < x < 2

d)

all real numbers

128.

-5|-n + 7| ≥ -45

a)

no solution

b)

all real numbers

c)

-2 ≤ n ≤ 16

d)

n ≤ -2 or n ≥ 16

129.

|v + 8| − 5 = 2

a)

{-1,-15}

b)

{-1,-5}

c)

{-15,15}

d)

No Solution

130.

|2a - 10| = 6

a)

a = 8, a = 5

b)

a = 2

c)

a = 8

d)

a = 8, a = 2

131.

Evaluate each expression.
| x + 9 | = -5

a)

-14

b)

-4

c)

{-14, -4}

d)

no solution

132.

Solve:

a)

{24}

b)

{-6, -8}

c)

{16, 4}

d)

{24, -24}

133.

Solve:
|x + 3| > 8

a)

x > 5 or x < -11

b)

x > 5

c)

all real numbers

d)

no solution

134.

Write an inequality for Graph 3.

a)

x ≤ -2 AND x > 5

b)

x ≤ -2 OR x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x < 5

135.

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

136.

| x | ≤ 3.5

a)

No Solution

b)

All Real Numbers

c)

-3.5 ≤ x ≤ 3.5

d)

x ≤ -3.5 or x ≥ 3.5

137.

| 2w - 1 | < 11

a)

No Solution

b)

All Real Numbers

c)

-5 < w < 6

d)

-6 < w < 5

138.

| x + 2 | > 5

a)

x < - 7 or x > 3

b)

x > 7 or x < 3

c)

x < -7 and x > 3

d)

x > -3 and x < 7

139.

| m - 2 | < 8

a)

m > 8 or m < 9

b)

m < -6 or m > 2

c)

m > -6 and m < 10

d)

0 > m < 0

140.

a)

x > 11 or x < 5

b)

x > - 11 or x > 5

c)

5 < x < 11

d)

- 5 < x < 11

141.

a)

- 4 ≤ x ≤ 6

b)

x ≥ - 4 or x ≤ 6

c)

x ≥ 4 or x ≤ - 6

d)

- 4 ≤ x ≤ - 6

142.

| 2w - 1 | < 11

a)

No Solution

b)

All Real Numbers

c)

-5 < w < 6

d)

-6 < w < 5

143.

|−4 + 5x| = 16

a)

{16/5,12/5}

b)

{4,-5}

c)

{-12/5, 4}

d)

4

144.

| x + 3 | ≤ 2

a)

No Solution

b)

All Real Numbers

c)

-5 ≤ x ≤ -1

d)

1 ≤ x ≤ 5

145.

Solve |2x –3| + 5 =10.

a)

-1, 1

b)

-1, 4

c)

-1, -4

d)

1, 4

146.

Solve.

8 - 9|10r - 9| = -73

a)

r = 9/5, r = 0

b)

r = 0, r = 5

c)

r = 9/5, r = 1

d)

r = -63/10, r= 0

147.

|b-8|+10>22

a)

-4<b<20

b)

b<-4 or b>20

c)

20<b<-4

d)

b=-4 or b=20

148.

Solve this equation.
|-6x| = 30

a)

x = -5

b)

No solution

c)

x = 5, -5

d)

x = 5

149.

Solve the equation.
|m| + 2 = 11

a)

m = -9

b)

m = 9

c)

m = -13, 9

d)

m = 9, -9

150.

Solve the inequality.
|k| - 6 ≤ -1

a)

k ≤ 5

b)

k ≤ -5

c)

k ≤ -5, 5

d)

-5 ≤ k ≤ 5

151.

Solve the inequality.
|m| + 5 < 9

a)

m < 4

b)

m < -4

c)

-4 < m < 4

d)

m < 4,-4

152.

|x| < 4

a)

-4 < x < 4

b)

4 < x < -4

c)

x > 4 or x < -4

d)

x > -4 or x < 4

153.

|x + 3| = -5

a)

x = -8 or x = 2

b)

no solutions

c)

x = 8 or x = -2

d)

x = 5 or x = -5

154.

Write an inequality for the graph.

a)

$x<6$

b)

$x>6$

c)

$x\le6$

d)

$x\ge6$

155.

How many solutions will the equation have:

\left|x+3\right|=-4

a)

no solutions

b)

1

c)

2

d)

All Real numbers

156.

How many solutions will the inequality have:

\left|x+2\right|<-9

a)

no solutions

b)

1

c)

2

d)

All Real numbers

157.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

158.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

159.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

160.

10 ≥ x - 3

a)

x ≤ 13

b)

x ≥ 13

c)

x ≤ 7

d)

x ≥ 7

161.

-7 + 10z > -27

a)

z < -2

b)

z > -34

c)

2 > z

d)

z > -2

162.

14 < -2a + 6 - 2a

a)

a > -2

b)

a < -2

c)

a > 2

d)

a < 2

163.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

164.

When do you "flip the inequalities sign"?

a)

When you add or subtract a negative

b)

When it's a 1-step problem

c)

When you multiply or divide a negative

d)

When it's a 2-step problem

165.

-3x ≤ 18

a)

x ≤ -6

b)

x ≤ 6

c)

x ≥ 6

d)

x ≥ -6

166.

2x > 12

a)

x > 6

b)

x < 6

c)

x ≥ 6

d)

x ≤ 6

167.

Solve for x: 3x + 7 < 22

a)

x < -29/3

b)

x < -5

c)

x < 29/3

d)

x < 5

168.

Decide if the inequality is open circle or closed circle: 4x > 16

a)

Open Circle

b)

Closed Circle

c)

Flip the sign

d)

I don't know

169.

Do I flip the sign? -6x ≥ 36

a)

Open Circle

b)

Closed Circle

c)

Yes

d)

No

170.

Will the graph be an open circle or closed circle? -6x + 1 < 4

a)

Open Circle

b)

Flip the sign

c)

Closed Circle

d)

Don't flip the sign

171.

Solve for x: -2x - 3 ≤ 13

a)

x ≥ 8

b)

x ≥ -8

c)

x ≤ 8

d)

x ≤ -8

172.

Solve for x: 5x + 9 > 34

a)

x > -5

b)

x > 5

c)

x < -5

d)

x < 5

173.

x - 7 ≥ 4

a)

x ≥ 11

b)

x ≥ -11

c)

x ≥ 3

d)

x ≥ -3

174.

14 ≥ x - 8

a)

22 ≥ x

b)

-22 ≥ x

c)

6 ≥ x

d)

-6 ≥ x

175.

5x - 7 ≥ 8

a)

x ≥ 3

b)

x ≤ 3

c)

x = 3

d)

x ≠ 3

176.

9x - 3 > 6

a)

x > 1

b)

x < 1

c)

x ≥ 1

d)

x = 1

177.

Solve and graph.
p - 3 > -8

a)

A

b)

B

c)

C

d)

D

178.

What inequality does the number line graph represent?

a)

x ≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ -3

179.

Solve and graph.
k - 13 > -51

a)

A

b)

B

c)

C

d)

D

180.

6 - 2h > 30

a)

h < 24

b)

18 > h

c)

h > 12

d)

h < -12

181.

7b - 3 < 11

a)

b < 2

b)

84 > b

c)

b > 2

d)

b < 84

182.

4x - 2 ≤ -22

a)

x ≥ -5

b)

x ≥ -6

c)

x ≤ -6

d)

x ≤ -5

183.

When you graph an inequality, you used a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

184.

When graphing an inequality, you use an open dot when you use which symbol?

a)

<, >

b)

≤, ≥

185.

When graphing "AND" inequalites, shading looks like___

a)

Shading that always connects the 2 dots.

b)

Shading that always points away from each dot

c)

2 shaded arrows pointing in same direction(both left)

d)

2 shaded arrows pointing in same direction (both right)

186.

When graphing the solutions to "OR" inequalities, The shading looks like___

a)

Shading that connects the 2 dots

b)

Shading that points away and never crosses.

c)

Shading that points toward each other and ALWAYS crosses

d)

Shading that points opposite, but sometimes crosses.

187.

a)

x > -3 or x > 1

b)

x < -3 or x < 1

c)

x ≥ 3 and x ≤ 1

d)

x > -3 and x < 1

188.

a)

x ≤ 3 and x > -2

b)

x < -2 or x ≥ 3

c)

x > -2 or x < 3

d)

x < 3 and x ≥ -2

189.

a)

x < 0 or x ≥ 2

b)

x < 0 or x > 2

c)

x ≤ 0 or x ≥ 2

d)

x ≤ 0 or x > 2

190.

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

191.

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

192.

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

193.

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

194.

Solve: -3 ≤ 2x - 1 ≤ 5

a)

-1 ≤ x ≤ 3

b)

-2 ≤ x ≤ 6

c)

-3 ≤ x ≤ 3

d)

1 ≤ x ≤ 3

195.

Solve:
-4x + 1 ≤ 21 and 5x + 2 < 22

a)

x > -5 or x ≤ 4

b)

x ≥ -5 or x < 4

c)

x > -5 and x ≤ 4

d)

x ≥ -5 and x < 4

196.

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

197.

Solve and graph:

a)

A

b)

B

c)

C

d)

D

198.

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

199.

0 < x + 7 < 9

a)

-7<x and x<2

b)

-7<x or x<2

c)

-7>x and x>2

d)

-7>x or x>2

200.

Solve:

a)

A

b)

B

c)

C

d)

D

201.

1-4x≤2 or 5x≥25

a)

x≥ -5 or x≥5

b)

x≤ -4 and x≤ 8

c)

No Solutions

d)

None of the above

202.

What inequality is graphed?

a)

2 < x < 4

b)

2 ≤ x ≤ 4

c)

x > 2 or x < 4

d)

x ≥ 2 or x ≤ 4

203.

What inequality is graphed?

a)

x > 2 and x ≤ -3

b)

x > 2 and x < -3

c)

x > 2 or x ≤ -3

d)

x > 2 or x < -3

204.

What inequality is shown?
Pay close attention to the signs!

a)

x ≥ 0 OR x < 5

b)

0 ≤ x ≤ 5

c)

0 ≤ x < 5

d)

0 ≥ x > 5

205.

What inequality is shown?

a)

x ≥ -5 OR x < 4

b)

x ≤ -5 OR x > 4

c)

-5 ≤ x < 4

d)

-5 ≥ x > 4

206.

What inequality is shown?

a)

x ≥ 0 OR x < 5

b)

0 ≤ x ≤ 5

c)

0 ≤ x < 5

d)

0 ≥ x > 5

207.

Which compound inequality is graphed above?

a)

-2 ≤ x ≤ 2

b)

-2 ≥ x ≥ 2

c)

2 < x < -2

d)

-2 > x > 2

208.

Which compound inequality is graphed above?

a)

0 > x > 5

b)

0 < x > 5

c)

0 ≤ x ≥ 5

d)

0 ≥ x ≥ 5

209.

Which compound inequality is graphed above?

a)

-2 < x ≤ 2

b)

-2 > x ≤ 2

c)

-2 < x < 2

d)

-2 ≥ x < 2

210.

Which compound inequality is graphed above?

a)

-2 ≥ x > 5

b)

-2 < x > 5

c)

-2 ≤ x < 5

d)

-2 > x ≥ 5

211.

a)

A

b)

B

c)

C

d)

D

212.

Solve:

a)

A

b)

B

c)

C

d)

D

213.

−6 < 2t − 5 < 3

a)

−0.5 < t < 1

b)

0.5 < t < −1

c)

−11/2 < t < 2

d)

11/2 < t < −2

214.

Solve each compound inequality and graph its solution.

a)

A

b)

B

c)

C

d)

D

215.

When solving inequalities you must _________________ the inequality when ____________________ by a negative.

a)

flip; dividing

b)

ignore; multiplying and dividing

c)

flip; multiplying

d)

flip; multiplying and dividing

216.

Could x = 3 be solution to the inequality
6 < x + 5 ≤ 11?

a)

Yes

b)

No

217.

Could x = - 5 be a solution to the inequality -6 < 3x + 9 < 21?

a)

yes

b)

no

218.

Solve 24 > -3r > -9

a)

-8 < r < 3

b)

-8 > r > 3

c)

r > - 8 and r > 3

d)

r > -8 or r < 3

219.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

220.

Solve:
$-3\ ≤\ 2x-1\ ≤\ 5$

a)

$-1\ ≤\ x\ ≤\ 3$

b)

$-2\ ≤\ x\ ≤\ 6$

c)

$-3\ ≤\ x\ ≤\ 3$

d)

$1\ ≤\ x\ ≤\ 3$

221.

Solve:
$-4x+1≤21\ and\ 5x+2<22$

a)

$x>-5\ \ or\ \ x≤4$

b)

$x≥-5\ \ or\ \ x<4$

c)

$x>-5\ \ and\ \ x≤4$

d)

$x≥-5\ \ and\ \ x<4$

222.

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)

$x<2\ \ and\ x>5$

223.

Simplify the following compound inequality:
$16\le2x+6<30$

a)

$x\ge5$ and $x<12$

b)

$x\ge2$ and $x<11$

c)

$x\ge5$ or $x<12$

d)

$x\ge2$ or $x<11$

Inequalities Study Guide

Total questions: 223

Worksheet time: 56hrs 45mins

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