Review Graphing and Solving Linear Inequalities

Solving and graphing inequalities: Solve and graph the inequality: 5 - 2y ≤ 11

• y = 2

• y > 5

• y ≤ 3

• y ≥ -3

Which inequality matches the graph?

Which inequality matches the graph?

Ty's work is shown in the image. Did he solve the inequality correctly?

• Yes

• No

Daniel got this question wrong on his quiz. His work is shown in the image. What was Daniel's mistake?

• He subtracted 7 when he should have added it.

• He divided by 5, but he should have subtracted both sides by 5.

• He should have flipped the inequality sign when he divided by 5

• He added 2x to both sides when he should have subtracted it.

Write the linear inequality of the graph.

Write the linear inequality of the graph.

The PTA is selling t-shirts for $20 each. They hope to raise $3,000 or more for school equipment. If x represents the number of shirts the PTA sells, write an inequality to describe the situation.

Jacob earns $5 an hour tutoring for math. He wants to buy a bike. He needs to earn at least $175 to buy a good one. If h represents the number of hours he tutors, write an inequality to represent the situation.

Which of the following inequalities could be the result of the FIRST step in solving the inequality for x?