Question

Help asap plz ill give a gold medal. the label on cars antifreeze claims to protect the car between -30celsius and 130celsius. to convert Celsius temperature Fahrenheit temperature, the formula is, c=5/9(F-32). Write an solve and inequality to determine the Fahrenheit temperature range at which antifreeze protects the car.

Answer 1

The inequality would start out looking like this:
$-30\ \textless \ \frac{5}{9} (F-32)\ \textless \ 130$
Now it's just a matter of solving the inequalities simultaneously. Get rid of the fraction by multiplying everything by 9:
$-270\ \textless \ 5(F-32)\ \textless \ 1170$
Then distribute the 5 into the parenthesis:
$-270\ \textless \ 5F-160\ \textless \ 1170$
Now add 160 everywhere:
$-110\ \textless \ 5F\ \textless \ 1330$
and finally divide everything by 5:
-22<F<266