Solve, Graph, Explain Inequalities

Solve the inequality.

-3x - 11 > 45

• x > 18.333333...

• x < -18.666666....

• x < -11.33333...

• x < -11.666666....

Solve the following inequality.

• x > 52

• x > 13

• x < 18

• x > -52

Solve the following inequality.

30 < 2x - 6

• x < 72

• x > 12

• x > 18

• x < 48

Solve the following inequality.

• x < 22.5

• x < 6.5

• x < 7.5

• x < 4

Solve the following inequality.

• x < 14

• x < 5

• x < 20

• x < 44

Solve the following inequality.

4x - 9 < -18

• x > 7

• x > -5.5

• x < 4.75

• x < -2.25

Solve the following inequality.

7x + 22 < 15

• x < -5

• x < -1

• x < -2

• x < -7

Jasmine has a budget of $600.00 to spend on home renovations. She will spend $175.00 on a new sink and the remainder on countertops. The countertops cost $35 per square foot. What is the maximum number of square feet Jasmine can purchase?

• 175x + 35 > 600

• 175 + 35x < 600

• 35x + 175 > 600

• 600x + 175 < 35

Hayden earns $9.50 per hour as a lifeguard. He earns a bonus of $50.00 for taking a training course. How many hours must he work to earn at least $300.00?

• 50x + 9.50 < 300

• 300 + 50x > 9.5

• 9.50x < 300 + 50

• 50 + 9.50x > 300

Russell wants to buy three ties and a belt and cannot spend more than $80.00. The belt costs $28.50. If the three ties are the same price, then how much can he pay for each tie?

• 3x + 28.50 < 80

• 28.50x + 3 > 80

• 80x + 3 < 28.50

• 3x + 80 < 28.50