Inequalities Answers

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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
2
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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
3

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
4

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
5

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
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

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
8

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
9

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
10

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

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