Unit 5 Retake: Inequalities 25-26

Which of the following number lines BEST represents the solutions to -3x + 2 < 8?

Rebecca, Delilah, and Abigail are given the following problem.

Jayden needs to play practice his violin for at least 48 hours to be considered for 1st chair. If he has already practiced for 13 hours, at a minimum how many more hours does he need to play to be considered for 1st chair?

Each student writes an inequality to represent the situation as shown.

• Rebecca wrote 13 + x ≤ 48

• Delilah wrote 13 + x ≥ 48

• Abigail wrote 13 + x < 48

Whose inequality is CORRECT? Justify your reasoning.

The table below reflects the different prices for ice skating.

Olivia saved $50 to go ice skating on Saturday. Olivia believes that she can skate for at most 3 hours. Assuming that Olivia needs to rent ice skates and pay Saturday's hourly fee, is she correct?

Use the two inequalities below to answer the question

Inequality 1: 14 ≤ x

Inequality 2: 7 + x > 14

Which values in the set {0, 7, 13.99, 14, 14.01, 20} make BOTH inequalities true? Explain how you know in the show your work section.

Liam needs to read a minimum of 3 books over the summer.

Which of the following graphs best represents the number of books Liam needs to read over the summer?

The stage manager of the school musical is trying to figure out how many sandwiches he can order with $73 he collected from the cast and crew. Sandwiches cost $5.50 each, and there is an $7 fee for catering, so he lets x represent the number of sandwiches he will order and writes 5.50x + 7 ≤ 73.

Select all 3 statements that are true.