Answer
$x\leq3, x\geq1$
Work Step by Step
When undoing the absolute value, you must solve the regular inequality for $x$, and then you must flip the sign, make the right side negative, and solve again.
$|2x-4|\leq2$
$2x-4\leq2$
$2x\leq6$
$x\leq3$
$2x-4\geq-2$
$2x\geq2$
$x\geq1$
$x\leq3, x\geq1$
