Creating and Solving Inequalities

Solve the inequality 3(x + 6) — 2(x + 2) > 10

• x > -12

• x < -12

• x > -4

• x < -4

Solve the inequality

–5x – 7 < 28

• x > –7

• x < –7

• x > 21/5

• x < − 21/5

Dave has $15 to spend on an $8 book and two birthday cards (c) for his friends. How much can he spend on each card if he buys the same card for each friend?

• $3.50 or more

• $3.50 or less

• $7.50 or less

• $5.50 or more

• 692

• 421

• 271

• 150

Your cell phone plan allows you 400 minutes to talk per month. So far this month, you have used 265 minutes and you have 7 days left on this month’s plan. Which inequality could you use to determine how many minutes at most you can use per day so that you don’t go over your monthly plan minutes?

• 7x + 265 < 400

• 7x + 265 ≤ 400

• 7x + 265 > 400

• 7x + 265 ≥ 400

x + 8 < 3 or - 8x < -40 

• x > -5 or x < 5

• x < -5 and x > 5

• x < -5 or x > 5 

• x > -5 and x < 5 

Which is a solution of
5(v + 3) - 10v > -10

• v < 5

• v > 5

• v > -5

• v < -5

Write an inequality for Graph 2.

• -2 ≤ x < 5

• x ≤ -2 AND x > 5

• x ≥ -2 OR x < 5

• -2 ≤ x ≤ 5

The first step in solving the following inequality is to
3 - 5( x - 4 ) ≥ 20

• distribute the 3

• distribute the -5

• distribute the 5

• distribute the 20

Jim has $8 to spend on pizza. The slice is $4 and each topping is $0.50. Create an inequality to represent the number of toppings Jim can get if he only buys one slice of pizza.

• 4x + 0.50 ≥ 8

• 0.50x + 4 < 8

• 0.50x +4 ≤ 8

• 4x +0.50 ≤ 8