Inequalities to Solve Problems

18x-16>6x+8

Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?

• 5x + 10 ≥ 100

• 5x - 100 ≥ 10

• 10x + 5 ≤ 100

• 5x + 10 > 100

Daniel can spend no more than $40 at the fair. If admission into the fair is $10 and the rides cost $1.50 each, which inequality represents the greatest number of rides Daniel can go on?

• 10x + 1.50 ≥ 40

• 1.50x + 10 ≤ 40

• 1.50x + 10 <40

• 10x + 1.50 < 40

Four times a number increased by  7 is at least 19. 

• 4x > 19

• 4x + 7 ≥ 19

• 4x < 19

• 4x + 7 ≤ 19

• f < 0.5

• f > 0.5

• f < 1.2

• f > 1.2

m ≤ 15

• m ≤ 15

• m ≥ 15

• m ≤ 8

• m ≥ 8

Solve the linear inequality.

• x < 0

• x > 0

• x < 3

• x > 3

Solve the linear inequality.

• x < 5

• x > 5

• x < 5

• x > 5

Solve the linear inequality.

Solve for x

• x > 15

• x < 15

• x > 1.7

• x < 1.7