#### Answer

$ m \leq -3$ or $m \geq 33/5$

#### Work Step by Step

$abs(5m-9) \geq 24$
$5m - 9 \leq -24$ or $ 5m - 9\geq 24$
$5m - 9 \leq -24$
$5m - 9 +9\leq -24+9$
$5m \leq -15$
$5m *(1/5)\leq -15*(1/5)$
$ m \leq -3$
$ 5m - 9\geq 24$
$ 5m - 9+9\geq 24+9$
$5m \geq 33 $
$5m *(1/5)\geq 33*(1/5) $
$m \geq 33/5$