Writing and Evaluating Compound Inequalities in Context

A store sells t-shirts for between $15 and $25. Write a compound inequality to represent the price of a t-shirt.

• 15 <= p <= 25

• 15 < p < 25

• 20 <= p <= 30

• 10 <= p <= 20

If a student scores between 70 and 90 on a test, write a compound inequality to express this range of scores.

• 70 < score < 90

• 60 < score < 80

• 70 <= score <= 90

• score > 90 or score < 70

A runner wants to complete a race in less than 2 hours but more than 1.5 hours. Write a compound inequality to represent this time.

• 1.5 < time < 1.8

• 1.5 < time < 2

• 1 < time < 1.5

• 2 < time < 2.5

The temperature in a city is expected to be between 60°F and 80°F this week. Write a compound inequality for the expected temperature.

• 50 < T < 70

• 60 < T < 80

• 70 ≤ T ≤ 90

• 60 ≤ T ≤ 80

A recipe requires between 2 and 4 cups of flour. Write a compound inequality to represent the amount of flour needed.

• x >= 2 and x <= 3

• x < 2 or x > 4

• 1 < x < 5

• 2 <= x <= 4

A car can travel between 300 and 500 miles on a full tank of gas. Write a compound inequality to express the range of miles the car can travel.

• 500 <= x <= 600

• 300 < x < 500

• 200 <= x <= 400

• 300 <= x <= 500

A student needs to score at least 85% but no more than 95% to pass a course. Write a compound inequality to represent the passing score.

• 80 < score < 90

• 75 <= score <= 100

• score < 85 or score > 95

• 85 <= score <= 95

The height of a plant is between 10 inches and 20 inches. Write a compound inequality to express the height of the plant.

• 10 < h < 20

• h < 10 or h > 20

• 10 <= h <= 20

• h > 10 and h < 20

A concert ticket costs between $30 and $50. Write a compound inequality to represent the price range of the ticket.

• 30 < x < 50

• 30 <= x <= 50

• x > 30 and x < 50

• x >= 30 and x <= 50

A swimmer wants to swim between 500 and 1000 meters in practice. Write a compound inequality to represent the distance the swimmer aims to cover.

• d < 500

• 500 < d < 1000

• 500 < d < 500

• d > 1000