Inequalities

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?

5

Which graph shows the solution to the inequality Negative 3 x minus 7 less-than 20

B.

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?

15 weeks

Which inequality has no solution?

3+4x<2(1+2x)

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.

Which graph represents the solution set of the compound inequality -4 less-than-or-equal-to 3x minus 1 and 2 x + 4 less-than-or-equal-to 18?

A.

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?

C.

Which graph represents the solution set of the inequality x + 2 greater-than-or-equal-to 6

C.

Which graph shows the solution set of the inequality 2.9 (x + 8) less-than 26.1

D.

Which represents the solution set of the inequality 5 x minus 9 less-than-or-equal-to 21

D.

Which values of x satisfy the inequality 0.5 x minus 0.75 greater-than-or-equal-to 3.25

D.

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?

h<2

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

n>4

Which represents the solution set of 5 (x + 5) less-than 85

x < 12