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Homework answers / question archive / The label on the cars antifreeze container claims to protect the car between -40C and 125C

The label on the cars antifreeze container claims to protect the car between -40C and 125C

Math

The label on the cars antifreeze container claims to protect the car between -40C and 125C. To convert Celsius temp to Fahrenheit temperature, the formula is C= 5/9 (F-32). Write and solve the inequality to determine the Fahrenheit temperature range at which this antifreeze protects the car

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Answer:

The condition 'temperature between -40°C and 125°C' can be written as inequality -40°C ∠ x°C < 125°C

Formula of changing degree Celcius to degree to degree Fahrenheit is given
°C = 5/9 (°F - 32)
Rearranging to make °F the subject

°F = 

Substitute °C = -40
°F = 

Substitute °C = 125
°F = 

Substitute °F = -40 and °F = 257 into the inequality 

-40°C < x°C < 125°C
-40°F < F < 257°F

Correct answer: B

 -40< 5/9 (F -32) < 125; -40 <F < 257