Solve the Inequality for F -20<=5/9(F-32)<=-15

Combine ${\displaystyle \frac{5}{9}}$ and ${\displaystyle -32}$.

Multiply ${\displaystyle 5}$ by ${\displaystyle -32}$.

Add ${\displaystyle \frac{160}{9}}$ to each section of the inequality because it does not contain the variable we are trying to solve for.

To write ${\displaystyle -20}$ as a fraction with a common denominator, multiply by ${\displaystyle \frac{9}{9}}$.

Combine ${\displaystyle -20}$ and ${\displaystyle \frac{9}{9}}$.

Combine the numerators over the common denominator.

Simplify the numerator.

Move the negative in front of the fraction.

Multiply each term in the inequality by ${\displaystyle 9}$.

Cancel the common factor of ${\displaystyle 9}$.

Cancel the common factor of ${\displaystyle 9}$.

Simplify each term.

Add ${\displaystyle -135}$ and ${\displaystyle 160}$.

Cancel the common factor.

Divide ${\displaystyle F}$ by ${\displaystyle 1}$.