#### Answer

$-24$ $\leq$ $f$ $\leq$ $18$

#### Work Step by Step

$-\frac{1}{3}|f+3|+2$ $\geq$ $-5$
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
$f$ $\geq$ $-24$
$-24$ $\leq$ $f$ $\leq$ $18$