Inequalities

- 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 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

- 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?

- 600-28w>300

- 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.

- 9h+15>110

- Which graph represents the solution set of the compound inequality -4<3x-1 and 2x+4<18?

- A.

- Which graph shows the solution to the inequality? -3x-7<20

- B.

- Which graph represents the solution set of the inequality x+2>6?

- C.

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

- 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

- A taxi service charges a flat fee of $125 and $0.75 per mile. If Henri has $14.00, which of the following shows the number of miles he can afford to ride the taxi?

- m<17

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

- n>4

- Which represents the solution set of 5(x+5)<85?

- x<12

- which represents the solution set of the inequality 5x-9<21?

- x<6

- Which values of x satisfy the inequality 0.5x-0.75>3.25

- x>8

- Which is the solution set of inequality 15y-9<36?

- y<3