Lesson 09: Solutions of Inequalities | Unit 7: Rational Numbers

Multiple Select

Select **all** numbers that are solutions to the inequality $$k > 5$$ .

• 6

• 5.2

• 4

• 5

• 5.01

Draw

Draw a number line to represent the inequality $$k > 5$$ .

Multiple Choice

A sign on the road says, “Speed limit: 60 miles per hour.” Let $$s$$ be the speed of a car. Which inequality matches the information on the sign?

• s < 60
• s >= 60
• s = 60
• s <= 60

Draw

A sign on the road says, “Speed limit: 60 miles per hour.” Draw a number line to represent the solutions to the inequality.

Open Ended

A sign on the road says, “Speed limit: 60 miles per hour.” Could 60 be a value of $$s$$ ? Explain your reasoning.

Multiple Choice

One day in Boston, MA, the high temperature was 60 degrees Fahrenheit, and the low temperature was 52 degrees. Which of the following inequalities describes the temperatures $$T$$ that are between the high and low temperature on that day?

• 52 < T < 70
• T < 52
• 52 < T < 60
• 60 < T < 52

Draw

One day in Boston, MA, the high temperature was 60 degrees Fahrenheit, and the low temperature was 52 degrees. Show the possible temperatures on a number line.

Multiple Select

Noah’s water bottle contains more than 1 quart of water but less than $$1 \frac{1}{2}$$ quarts. Let $$w$$ be the amount of water in Noah’s bottle, in quarts. Select **all** the true statements.

• $$w$$ could be $$\frac 5 4$$ .

• $$w$$ could be 1.

• $$w$$ could be $$\frac{3}{4}$$ .

• $$w$$ could be $$\frac 4 3$$ .

• $$w > 1$$

Multiple Choice

Jada has $$d$$ dimes. She has more than 30 cents but less than a dollar. Which of the following inequalities represent how many dimes Jada has?

• d > 10
• 3 < d < 10
• 10 < d < 15
• d < 3

Multiple Choice

Jada has $$d$$ dimes. She has more than 30 cents but less than a dollar. Can $$d$$ be 10?

• Yes

• No