# ﻿Interpreting Inequalities

Warmup

Match each story with a numberline and a description.

Activity #1

• Read the two inequality statements.
• Choose the correct one and then check the answer box. If it is correct, you’ll receive a feedback, if not try to reexamine your thinking.
• Click to generate a new problem.

Activity #2

Inequalities by Examining Unbalanced Hangers.

• Study the unbalanced objects on the hangers and answer the following questions.

(1.) Jada says that the weight of one circle is greater than the weight of one pentagon. Let p be the weight of one pentagon and c be the weight of one circle, write an inequality to represent her statement.

(2.) A circle weighs 12 ounces. Use this information to write another inequality to represent the relationship of the weights. Then, describe what this inequality means in this context.

Here is another diagram of an unbalanced hanger.

(1.) Let p be the weight of one pentagon and s be the weight of one square. Write an inequality to represent the relationship of the weights.

(2.) One pentagon weighs 8 ounces. Use this information to write another inequality to represent the relationship of the weights. Then, describe what this inequality means in this context.

• Graph the solutions to this inequality on the number line. The opened and closed circles can be used for the End Points.

Based on your work so far, can you tell the relationship between the weight of a square and the weight of a circle? If so, write an inequality to represent that relationship. If not, explain your reasoning.

Challenge #1

Here is a picture of a balanced hanger. It shows that the total weight of the three triangles is the same as the total weight of the four squares.

(1.) What does this tell you about the weight of one square when compared to one triangle? Explain how you know.

(2.) Let s be the weight of a square and t be the weight of a triangle, write an equation or an inequality to describe the relationship between the weight of a square and that of a triangle.

Challenge #2

Tyler has more than \$10. Elena has more money than Tyler. Mai has more money than Elena. Letbe the amount of money that Tyler has, let e  be the amount of money that Elena has, and let m  be the amount of money that Mai has.

Challenge #3

There is a closed carton of eggs in Mai’s refrigerator. The carton contains e eggs and it can hold 12 eggs.

(1.) What does the inequality  e < 12 mean in this context?

(2.) What does the inequality  e > 0 mean in this context?

(3.) What are some possible values of e that will make both e < 12 and e > 0 true ?

Quiz Time