Answer
$[\frac{2}{3},2]$
Work Step by Step
We are given that $|3x-4|\leq2$, so we know that $3x-4\leq2$ and $3x-4\geq-2$. We can solve these equations to find solutions for x.
For $3x-4\leq2$, add 4 to both sides.
$3x\leq6$
Divide both sides by 3.
$x\leq2$
For $3x-4\geq-2$, add 4 to both sides.
$3x\geq2$
Divide both sides by 3.
$x\geq\frac{2}{3}$
