Translating Real-World Scenarios into Compound Inequalities

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

• 20 <= x <= 30

• 15 < x < 25

• 15 <= x <= 25

• 10 <= x <= 20

A student scored between 70 and 85 on their math test. If the score is represented by x, write the compound inequality for the student's score.

• 70 <= x <= 85

• x > 70 and x < 85

• 70 < x < 85

• x < 70 or x > 85

The temperature in a city is expected to be between 60°F and 75°F this week. Write a compound inequality to represent the temperature range.

• 60 ≤ T ≤ 75

• T ≤ 60 or T ≥ 75

• 60 < T < 75

• T > 60 and T < 75

A runner wants to complete a race in under 2 hours but not less than 1.5 hours. Write a compound inequality to represent the time taken by the runner.

• t >= 2

• t < 1.5

• 1.5 <= t < 2

• 1.5 < t <= 2

A box can hold between 10 and 20 pounds of items. If the weight of the items is represented by w, write the compound inequality for the weight.

• 5 <= w <= 15

• w > 20

• w < 10

• 10 <= w <= 20

A movie theater has tickets priced between $8 and $12. Write a compound inequality to represent the price range of the tickets.

• x < 8

• 8 <= x <= 12

• 7 < x < 13

• x > 12

A plant needs to be watered when the soil moisture level is between 3 and 7. Write a compound inequality to represent the moisture level.

• 2 < x < 8

• x < 3 or x > 7

• x >= 3 and x <= 6

• 3 <= x <= 7

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

• 30 < mpg < 40

• 20 <= mpg <= 30

• 25 < mpg < 35

• 25 <= mpg <= 35

A student must read between 5 and 10 books this semester. Write a compound inequality to represent the number of books the student needs to read.

• 5 <= x <= 10

• 5 < x < 10

• x > 10

• x < 5

A swimming pool's temperature should be maintained between 78°F and 82°F. Write a compound inequality to represent the acceptable temperature range.

• 78 <= T <= 82

• 75 <= T <= 80

• 80 <= T <= 90

• 70 < T < 85