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 C = /59F - 32 . Write a compound inequality to determine the Fahrenheit temperature range at which the antifreeze protects the car.

A. -40 < 5/9(F - 32) < 140
B. -40 > 5/9(F - 32) > 140
C. -40 < 5/9(F - 32) > 140
D. -40 > 5/9(F - 32 )< 140

Answer 1

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. Since the car's antifreeze is claimed to protect between -40°C and 140°C, we need to determine the Fahrenheit temperature range. Let's first convert -40°C and 140°C to Fahrenheit using the formula:

• -40°C = (-40 x 9/5) + 32 = -40°F
• 140°C = (140 x 9/5) + 32 = 284°F

Therefore, the Fahrenheit temperature range at which the antifreeze protects the car is -40°F < F < 284°F, which can be written as -40 < F < 284.