Answer
$\text{ the interval }
\left[ 1,4 \right]
$
Work Step by Step
Using properties of inequality, then,
\begin{array}{l}
-2\le 3x-5\le7\\
-2+5\le 3x-5+5\le7+5\\
3\le 3x\le12\\
1\le x\le4
.\end{array}
Hence, the solution set is $
\text{ the interval }
\left[ 1,4 \right]
$.
