Mastering Compound Inequalities: Write and Interpret Them

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

• p < 15

• p > 25

• 10 < p < 30

The temperature in a city is expected to be between 60°F and 80°F this weekend. Write a compound inequality to express this temperature range.

• T ≤ 60 or T ≥ 80

• T > 60 and T < 80

• 60 < T < 80

• 60 ≤ T ≤ 80

A student needs to score between 70% and 90% on a test to maintain their grade. Write a compound inequality for the student's score.

• 60 < score < 80

• score > 90

• 70 <= score <= 90

• score < 70

A runner wants to complete a race in under 2 hours but also wants to finish in more than 1.5 hours. Write a compound inequality to represent this situation.

• 2 < x < 2.5

• 1.5 < x < 1.8

• 1 < x < 1.5

• 1.5 < x < 2

A movie theater has tickets priced between $8 and $12. Write a compound inequality to show the possible ticket prices.

• 8 <= p <= 12

• p >= 12

• 5 <= p <= 10

• 10 < p < 15

A plant needs to be watered when the soil moisture level is between 30% and 50%. Write a compound inequality to represent the moisture level.

• 20% < moisture level < 40%

• 30% <= moisture level <= 50%

• moisture level > 50%

• moisture level < 30%

A car can travel between 25 and 35 miles per gallon of gas. Write a compound inequality to express the car's fuel efficiency.

• 30 <= x <= 40

• 25 <= x <= 35

• 25 < x < 35

• 20 <= x <= 30

A student must read between 5 and 10 books this semester to pass the reading challenge. Write a compound inequality for the number of books.

• x >= 5 and x <= 10

• x < 5 or x > 10

• 5 < x <= 10

• 5 < x < 10

A gym requires members to be between 18 and 65 years old. Write a compound inequality to represent the age requirement for membership.

• 18 < x < 65

• 18 <= x <= 65

• x > 65

• x < 18

A concert venue has a capacity of between 200 and 500 people. Write a compound inequality to express the allowed number of attendees.

• 200 < x < 500

• x < 200 or x > 500

• x > 200 and x < 500

• 200 ≤ x ≤ 500