Question

solve for y.
-4 > \frac{y - 65}{5} \geq -19
write your answer as a compound inequality with integers, proper fractions, and improper fractions in simplest form.

Explanation:

Step1: Multiply each part by 5

\[

$$\begin{align*} -4\times5&>\frac{y - 65}{5}\times5\geq-19\times5\\ -20&>y - 65\geq-95 \end{align*}$$

\]

Step2: Add 65 to each part

\[

$$\begin{align*} -20+65&>y-65 + 65\geq-95+65\\ 45&>y\geq - 30 \end{align*}$$

\]

Answer:

\(-30\leq y<45\)