Answer
Set notation: $\quad\{x|x\geq5\}$
Interval notation: $\quad[5,\infty )$.
The graph is shown below.
Work Step by Step
Add $2-x$ to both sides.
$2x-2+2-x\geq 3+x+2-x $
Simplify.
$x\geq 5 $
The solution set is $\{x|x\geq5\}$
or interval notation is $[5,\infty )$.
To graph, use an open bracket at $5$ then shade the region to the right.
