Answer
$m \geq\frac{33}{5} $ or $m \leq -3$
Work Step by Step
Given: $|5m-9| \geq 24$
$5m-9 \geq 24$ or $5m-9\leq-24$
$5m \geq33$ or $5m \leq -15$
$m \geq\frac{33}{5} $ or $m \leq -3$
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