Answer
$-1 \leq x \leq3$
Work Step by Step
Given $3x^2 -6x-2 \leq 7$. Rewrite as: $3x^2-6x -9 \leq 0$. Then make a table of values:
Notice that $3x^2-6x -9 \leq 0$ when $-1 \leq x \leq3$.
The solution of the inequality is $-1 \leq x \leq3$.