## Algebra 2 Common Core

$-24$ $\leq$ $f$ $\leq$ $18$
$-\frac{1}{3}|f+3|+2$ $\geq$ $-5$ Subtract $2$ from each side $-\frac{1}{3}|f+3|$ $\geq$ $-7$ Multiply each side by -3 $|f+3|$ $\leq$ $21$ Rewrite as a compound inequality $f+3$ $\leq$ $21$ or $f+3$ $\geq$ $-21$ Subtract $3$ $f$ $\leq$ $18$ or $f$ $\geq$ $-24$ $-24$ $\leq$ $f$ $\leq$ $18$