AnswersFL-1200700-Mathematics for College Algebra MISInequalities

Inequalities Answers

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Kalon has $175 and needs to save at least $700 for a new computer. If he can save $35 per week, what is the minimum number of weeks Kalon will need to save to reach his goal?

A
10 weeks
B
12 weeks
C
15 weeks
D
20 weeks
2
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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
3

Which inequality has no solution?

A
6 (x + 2) greater-than x minus 3
Option A
B
3 + 4 x less-than-or-equal-to 2 (1 + 2x)
Option B
C
Negative 2 (x + 6) less-than x minus 20
Option C
D
x minus 9 less-than 3 (x minus 3)
Option D
4

Serena makes $9 per hour cutting lawns. Each day, she earns about $15 in tips. If Serena made no less than $110 on Monday, which inequality represents h, the number of hours she worked on Monday?

A
15 h + 9 less-than-or-equal-to 110
Option A
B
15 h + 9 greater-than-or-equal-to 110
Option B
C
9 h + 15 greater-than-or-equal-to 110
Option C
D
9 h + 15 less-than 110
Option D
5

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
6

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
7

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
8

Grayson charges $35 per hour plus a $35 administration fee for tax preparation. Ian charges $45 per hour plus a $15 administration fee. If h represents the number of hours of tax preparation, for what number of hours does Grayson charge more than Ian?

A
h less-than 2
Option A
B
h greater-than 2
Option B
C
h less-than 5
Option C
D
h greater-than 5
Option D
9

Which graph represents the solution set of the inequality

Question illustration
A
A number line goes from negative 9 to positive 9. A solid circle appears on positive 3. The number line is shaded from positive 3 through negative 9.
Option A
B
A number line goes from negative 9 to positive 9. An open circle appears at positive 3. The number line is shaded from positive 3 through positive 9.
Option B
C
A number line goes from negative 9 to positive 9. A closed circle appears at positive 4. The number line is shaded from positive 4 through positive 9.
Option C
D
A number line goes from negative 9 to positive 9. An open circle appears at positive 4. The number line is shaded from positive 4 through negative 9.
Option D
10

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

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