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Homework answers / question archive / The label on the car's antifreeze container claims to protect the car between −30°C and 130°C

The label on the car's antifreeze container claims to protect the car between −30°C and 130°C

Math

The label on the car's antifreeze container claims to protect the car between −30°C and 130°C. To convert Celsius temperature to Fahrenheit temperature, the formula is C = 5 over 9 (F − 32). Write and solve the inequality to determine the Fahrenheit temperature range at which this antifreeze protects the car.

A. −30 > 5 over 9 (F − 32) > 130; −22 > F > 266
B. −30 < 5 over 9 (F − 32) < 130; −22 < F < 266
C.−30 < 5 over 9 (F − 32); −22 < F
D. 5 over 9 (F − 32) < 130; F < 266

 

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Answer:

we know that

Step 

Find the inequality

we know that

 --------> equation 

and

substitute the equation  in the inequality

Step 

Convert  to F

substitute in the formula

Step 

Convert  to F

substitute in the formula

therefore

the answer is the option

B. −30 < 5 over 9 (F − 32) < 130; −22 < F < 266