Question

The label on a cars antifreeze container clamis to protect the car at temperatures greater than -40 c and less than 125 c to convert celsius temperature to fahrenheit temperature the formula is c= 5/9(f-32) write a compound inequality to determine the fahrenheit temperature range at which the anitfreeze protects the car.

Answer 1

The compound inequality representing the range of Fahrenheit temperatures at which the antifreeze can protect the car is -40°F < F < 257°F. This is calculated by converting the given Celsius temperature range to Fahrenheit using the formula: F = (9/5)C + 32.

Step-by-step explanation:

You're trying to determine the temperature range in Fahrenheit where the antifreeze in a car's antifreeze container can protect based on the given Celsius range of greater than -40 c and less than 125 c. We will convert the Celsius

temperatures to Fahrenheit using the formula F = (9/5)C + 32.

For the lower limit, let's calculate F when C is -40. Substituting -40 in the formula, F = (9/5)(-40) + 32 = -72 + 32 = -40°F.

For the upper limit, we substitute 125 for C, yielding F = (9/5)(125) + 32 = 225 + 32 = 257°F.

Therefore, the inequality that represents the range of Fahrenheit temperatures at which antifreeze can protect the car would be -40°F < F < 257°F.

Learn more about Temperature Conversion