## Intermediate Algebra (6th Edition)

$[-9,-\frac{9}{2}]$
$-1 \leq \frac{2x}{3}+5 \leq 2$ Using properties of inequality, add $-5$ to all parts, $-1-5 \leq \frac{2x}{3}+5 -5 \leq 2 -5$ $-6 \leq \frac{2x}{3} \leq -3$ Multiply all parts by $3$. $-6 \times 3 \leq \frac{2x}{3} \times 3 \leq -3 \times 3$ $-18 \leq 2x \leq -9$ Divide by $2$ $\frac{-18}{2}\leq\frac{2x}{2}\leq\frac{-9}{2}$ $-9 \leq x \leq \frac{-9}{2}$ In Interval Notation: $[-9,\frac{-9}{2}]$