Question

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.
−30 > 5 over 9 (F − 32) > 130; −22 > F > 266 −30 < 5 over 9 (F − 32) < 130; −22 < F < 266 −30 < 5 over 9 (F − 32); −22 < F 5 over 9 (F − 32) < 130; F < 266
@phi

Answer 1

First, you'll want to solve for F as you're trying to determine the Fahrenheit temperature range. C=(5/9)(F-32) -> C(9/5)+32=F
Next, you want to find the lowest and highest possible Fahrenheit temperatures, which you do by converting your Celsius temperatures with the formula, getting -22 and 266. I can't tell which answer choice is correct, however, because they are a bit disorganized. It should be some variation of -22<F<266, -30<(5/9)(F-32)<130, or a combination of the two.

Answer 2

Thanks!