The label on a car's antifreeze container claims to protect the car between −40°C and 140°C. To covert Celsius temperature to Fahrenheit temperature, the formula is C equals five ninths times the quantity F minus thirty two.. Write a compound inequality to determine the Fahrenheit temperature range at which the antifreeze protects the car.

The compound inequality to determine the Fahrenheit temperature range at which the antifreeze protects the car is -40°C < 5/9 (F - 32) < 140°C. option D

Temperature

Temperature on the car's antifreeze label = −40°C and 140°C

The inequality:

-40°C < t < 140°C

To covert Celsius temperature to Fahrenheit temperature, the formula is C equals five ninths times the quantity F minus thirty two.

C = 5/9 (F - 32)

Fahrenheit temperature range at which the antifreeze protects the car

= -40°C < 5/9 (F - 32) < 140°C

Given Options:

Negative forty is less than five ninths times the quantity F minus thirty two.

-40 < 5/9(F - 32)

Five ninths times the quantity F minus thirty two is less than one hundred forty.

5/9(F - 32) < 140

Negative forty is greater than five ninths times the quantity F minus thirty two is greater than one hundred forty.

-40 > 5/9 (F - 32) > 140

Negative forty is less than five ninths times the quantity F minus thirty two is less than one hundred forty.

-40 < 5/9 (F - 32) < 140

Therefore, the correct compound inequality is option D

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