AnswersOC27 MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006PLiteral Equations

Inequalities Answers

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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
2
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Which is the solution set of the inequality

Question illustration
A
y greater-than nine-fifths
Option A
B
y less-than nine-fifths
Option B
C
y less-than 3
Option C
D
y greater-than 3
Option D
3

Which represents the solution set of the inequality

Question illustration
A
x less-than-or-equal-to twelve-fifths
Option A
B
x greater-than-or-equal-to twelve-fifths
Option B
C
x greater-than-or-equal-to 6
Option C
D
x less-than-or-equal-to 6
Option D
4

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
5

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
6

Manuel has $600 in a savings account at the beginning of the summer. He wants to have at least $300 in the account at the end of the summer. He withdraws $28 each week for food. Which inequality represents w, the number of weeks Manuel can withdraw money while not dropping below a $300 balance?

A
28 minus 600 w less-than-or-equal-to 300
Option A
B
28 minus 600 w greater-than-or-equal-to 300
Option B
C
600 minus 28 w less-than-or-equal-to 300
Option C
D
600 minus 28 w less-than-or-equal-to 300
Option D
7

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
8

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
9

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
10

A construction elevator can carry at most 2,320 pounds. If the elevator operator weighs 195 pounds and each palette of roofing material weighs 425 pounds, what is the maximum number of palettes of roofing material that the elevator can carry in one trip?

A
4.5
B
5
C
6
D
9.7

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