Two-Step Inequalities

John goes to school less than five times a week. This value can be modeled with the following inequality:

Steph spends at least $44.11 at the store. The amount spent can be modeled with the following equation:

Alex will chew no more than seventy-seven sticks of gum this year. This value can be modeled with the following equation:

Ms. Q has more than six children. This value can be modeled with the following inequality:

What values of x make the following inequality true?

4x + 5 > 9

What values of x make the following inequality true?

6x + 24 ≤ 36

What values of x make the following inequality true?

8x - 41 < 23

What values of x make the following inequality true?

5x + 7 ≥ -8

Greg is a handyman who charges $40 for a visit and $10 per hour for labor. He made a visit on Sunday that cost at least a total of $110. The equation can be modeled with the inequality 10h + 40 ≥ 110, where h is the number of hours he worked. Which of the following inequalities represent all possible values of h?

Josephina is buying lunch for a group of three people. Josephina has a coupon for $20 off the total bill and wants to spend less than $52 after using the coupon. The inequality 3p － 20 < 54 can be used to find p, the average price of each person's lunch. Solve the inequality.

What values of u make the inequality true?

3.3u + 10.1 < 20

What values of u make the inequality true?

3.3u + 10.1 < 20