Question

The label on the car's antifreeze container claims to protect the car between -40°C and 140°C. To convert Celsius temperature to Fahrenheit temperature, the formula is F = (9)(5)C + 32. Write a compound inequality to determine the Fahrenheit temperature range at which the antifreeze protects the car.

a) -40 ≤ (9)(5)C + 32 ≤ 140
b) -40 ≤ (5)(9)C + 32 ≤ 140
c) -40 ≥ (9)(5)C + 32 ≥ 140
d) -40 ≥ (5)(9)C + 32 ≥ 140

Answer 1

The compound inequality to determine the Fahrenheit temperature range at which the antifreeze protects the car is -40°F ≤ F ≤ 284°F.

Step-by-step explanation:

To convert Celsius temperature to Fahrenheit temperature, the formula is F = (9)(5)C + 32. In this case, we want to find the Fahrenheit temperature range at which the antifreeze protects the car. The label on the car's antifreeze container claims to protect the car between -40°C and 140°C. To determine the Fahrenheit temperature range, we can substitute the given Celsius temperatures into the formula.

Substituting -40°C into the formula, we get: F = (9)(5)(-40) + 32 = -40°F. Substituting 140°C into the formula, we get: F = (9)(5)(140) + 32 = 284°F.

Therefore, the compound inequality to determine the Fahrenheit temperature range at which the antifreeze protects the car is: -40°F ≤ F ≤ 284°F.