Answer
Set notation:$\quad\{x|x\geq-1\}$
Interval notation:$\quad[-1,\infty )$.
The graph is shown below.
Work Step by Step
Subtract $2$ from both sides.
$2-3x-2\leq 5-2 $
Simplify.
$-3x\leq 3 $
Divide both sides by $-3$ and change the direction of the inequality.
$\dfrac{-3x}{-3}\geq \dfrac{3}{-3} $
Simplify.
$x\geq -1 $
The solution set is $\{x|x\geq-1\}$
or interval notation is $[-1,\infty )$.
To graph, use an open bracket at $-1$ then shade the region to the right.
