Question

Plz show your work

The label on the car's antifreeze container claims to protect the car between −40°C and 125°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.

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

Answer 1

9/5 (-8) > = F > = 9/5 (157)

Explanation:

A. -40>= 5/9F - 32

-40+32>= 5/9F

9/5(-8) >= F

B. 125 <= 5/9F - 32

125+32 <= 5/9F

9/5(157) <= F

9/5 (-8) >= F >= 9/5 (157)

Answer 2

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

Explanation:

Conversion equation:

• C = 5/9*F - 32

We need to convert this inequality:

• -40C < T
• T < 125C

Replace T with the expression above:

• -40 < 5/9*F - 32 or 5/9*F - 32 < 125

Correct choice is C