Lesson 10: Interpreting Inequalities | Unit 7: Rational Numbers

Multiple Choice

There is a closed carton of eggs in Mai's refrigerator. The carton contains $$e$$ eggs, and it can hold 12 eggs. What does the inequality $$e < 12$$ mean in this context?

• The carton is empty.
• There are fewer than 12 eggs in the carton.
• There are more than 12 eggs in the carton.
• There are exactly 12 eggs in the carton.

Multiple Choice

There is a closed carton of eggs in Mai's refrigerator. The carton contains $$e$$ eggs, and it can hold 12 eggs. What does the inequality $$e > 0$$ mean in this context?

• The carton contains fewer than 0 eggs.
• The carton is empty and contains no eggs.
• The carton contains more than zero eggs.
• The carton contains exactly 12 eggs.

Multiple Choice

There is a closed carton of eggs in Mai's refrigerator. The carton contains $$e$$ eggs, and it can hold 12 eggs. What are some possible values of $$e$$ that will make both $$e < 12$$ and $$e > 0$$ true?

• 0
• 12
• [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]
• -1

Multiple Choice

Here is a diagram of an unbalanced hanger. Which inequality represents the relationship of the weights? Use $$s$$ to represent the weight of the square in grams and $$c$$ to represent the weight of the circle in grams.

• c > s
• s > c
• c = s
• c < s

Multiple Choice

One red circle weighs 12 grams. Which inequality represents the weight of one blue square?

• weight of blue square > 12 grams
• weight of blue square <= 12 grams
• weight of blue square = 12 grams
• weight of blue square >= 12 grams

Open Ended

Could 0 be a value of $$s$$ ? Explain your reasoning.

Multiple Select

Tyler collected more than 10 glass bottles to be recycled. Elena collected more glass bottles than Tyler did. Mai collected more glass bottles than Elena did. Let's say $$t$$ represents the number of glass bottles that Tyler collected, $$e$$ represents the number of glass bottles that Elena collected, and $$m$$ represents the number of glass bottles that Mai collected. Select **all** statements that are true: * $$t < m$$ * $$m > 10$$ * $$e > 10$$ * $$t > 10$$ * $$e > m$$ * $$t < e$$

• $$m > 10$$

• $$t < e$$

• $$t < m$$

• $$e > 10$$

• $$t > 10$$

Multiple Choice

Tyler wants to buy some cherries at the farmer’s market. He has $ $$10$$ , and cherries cost $ $$4$$ per pound.

If $$c$$ is the number of pounds of cherries that Tyler can buy, which of the following inequalities describes $$c$$ ?

• c ≥ 2.5
• c ≤ 2.5
• c < 2
• c = 3

Open Ended

Tyler wants to buy some cherries at the farmer’s market. He has $ $$10$$ , and cherries cost $ $$4$$ per pound. Can 2 be a value of $$c$$ ? Can 3 be a value of $$c$$ ? What about -1? Explain your reasoning.

Multiple Choice

Tyler wants to buy some cherries at the farmer’s market. He has $ $$10$$ , and cherries cost $ $$4$$ per pound.

If $$m$$ is the amount of money, in dollars, Tyler can spend, which of the following inequalities or equations describes $$m$$ ?

• m >= 10
• m < 4
• m = 4
• m <= 10