Inequality Word Problems

Max’s dog dish contains 34 ounces of water, and Max drinks 4 ounces per hour. Sophie’s dog dish contains 50 ounces of water and she drinks 6 ounces per hour. Which inequality below can be used to determine after how many hours Sophie's dish will have less water than Max's dish?

• 34 - 4x > 50 - 6x

• 34 - 4x < 50 - 6x

Max’s dog dish contains 34 ounces of water, and Max drinks 4 ounces per hour. Sophie’s dog dish contains 50 ounces of water and she drinks 6 ounces per hour. In how many hours will Sophie’s dish have less water than Max’s?

• x > 8

• x < 8

Claire’s stamp collection has 100 stamps and she buys 5 new stamps each month. Harriet’s collection has 400 stamps and she sells 15 stamps per month. After how many months will Claire have more stamps than Harriet?

• x < 15

• x > 15

A pink roll of tickets has 1,000 tickets on it, and 50 are sold each hour. A blue roll has 595 tickets, and 5 are sold each hour. Which inequality below could be used to determine when the blue roll will have more tickets than the pink roll?

• 1000 - 50x < 595 + 5x

• 1000 - 50x > 595 - 5x

• 1000 - 50x < 595 - 5x

• 1000x - 50 < 595 + 5x

A pink roll of tickets has 1,000 tickets on it, and 50 are sold each hour. A blue roll has 595 tickets, and 5 are sold each hour. When will the blue roll have more tickets than the pink roll?

• x > 9

• x < 9

Which inequality represents: 4 more than a number is at most twice the number

Which inequality represents:

3 less than twice a number is at least the number plus 5

Which inequality represents:

Twice the sum of a number and 2 is fewer than three times the same number minus 8

Which inequality represents:

5 times a number is not less than twice the number plus 9

Lea needs at least $240 to buy new headphones. She has already saved $30. She earns $14 per car that she washes. Which inequality below can be used to determine how many cars she has to wash to have enough money?

• 14x+30 ≥ 240

• 14x+30 ≤ 240

• 30x+14 ≥ 240

• 30x+14 ≤ 240