Answer
$-2\leq x\leq\frac{9}{2}$
Work Step by Step
Use the given information to create the following equation. Then use the identity of absolute values to solve for $x$.
$|5-4x|\leq13$
$5-4x\leq13$
$-8\leq4x$
$-2\leq x$
$5-4x\geq-13$
$18\geq4x$
$\frac{9}{2}\geq x$