Chapter 3 - Solving Inequalities - 3-7 Absolute Value Equations and Inequalities - Practice and Problem-Solving Exercises - Page 211: 46

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

$abs(5m-9) \geq 24$ $5m - 9 \leq -24$ 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) $ $m \geq 33/5$