Inequalities Answers

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1
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Six times a number is greater than 20 more than that number. What are the possible values of that number?

A
n less-than 4
Option A
B
n greater-than 4
Option B
C
n greater-than StartFraction 20 Over 7 EndFraction
Option C
D
n less-than StartFraction 20 Over 7 EndFraction
Option D
2
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Which graph shows the solution to the inequality

Question illustration
A
A number line goes from negative 10 to positive 10. An open circle appears at negative 9. The number line is shaded from negative 9 through negative 10.
Option A
B
A number line goes from negative 10 to positive 10. An open circle appears at negative 9. The number line is shaded from negative 9 through positive 10.
Option B
C
A number lines goes from negative 10 to positive 10. An open circle appears at positive 9. The number line is shaded from positive 9 through negative 10.
Option C
D
A number line goes from negative 10 to positive 10. An open circle appears at positive 9. The number line is shaded from positive 9 through positive 10.
Option D
4

A taxi service charges a flat fee of $1.25 and $0.75 per mile. If Henri has $14.00, which of the following shows the number of miles he can afford to ride in the taxi?

A
m less-than-or-equal-to 17
Option A
B
m greater-than-or-equal-to 17
Option B
C
m less-than-or-equal-to 20.3
Option C
D
m greater-than-or-equal-to 20.3
Option D
6

Which values of x satisfy the inequality

Question illustration
A
x greater-than-or-equal-to 5
Option A
B
x less-than-or-equal-to 5
Option B
C
x less-than-or-equal-to 8
Option C
D
x greater-than-or-equal-to 8
Option D
7

Which graph shows the solution set of the inequality

Question illustration
A
A number line goes from negative 10 to positive 10. A solid circle appears at 0. The number line is shaded from 0 toward positive 10.
Option A
B
A number line goes from negative 10 to positive 10. An open circle appears at 0. The number line is shaded from 0 toward positive 10.
Option B
C
A number line goes from negative 10 to positive 10. A closed circle appears at positive 1. The number line is shaded from positive 1 toward negative 10.
Option C
D
A number line goes from negative 10 to positive 10. An open circle appears at positive 1. The number line is shaded from positive 1 toward negative 10.
Option D
8

Which graph represents the solution set of the compound inequality ?

Question illustration
A
A number line goes from negative 10 to positive 10. A closed circle appears at negative 1 and positive 7. The number line is shaded from negative 1 to positive 7.
Option A
B
A number line goes from negative 10 to positive 10. A closed circle appears at negative 7 and positive 1. The number line is shaded from negative 7 to positive 1.
Option B
C
A number line goes from negative 10 to positive 10. A closed circle appears at negative 1. The number line is shaded from negative 1 toward negative 10.
Option C
D
A number line goes from negative 10 to positive 10. A closed circle appears on positive 7. The number line is shaded from positive 7 toward positive 10.
Option D
10

Which represents the solution set of

Question illustration
A
x less-than 12
Option A
B
x greater-than 12
Option B
C
x less-than 16
Option C
D
x greater-than 16
Option D

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