Answer
Set notation: $\quad\{x|x\gt3\}$
Interval notation:$\quad(3,\infty )$.
The graph is shown below.
Work Step by Step
Add $7$ to both sides.
$3x-7+7\gt 2+7 $
Simplify.
$3x\gt 9$
Divide both sides by $3$.
$\dfrac{3x}{3}\gt \dfrac{9}{3} $
Simplify.
$x\gt 3 $
The solution set is $\{x|x\gt3\}$
or interval notation is $(3,\infty )$.
To graph, use an open parenthesis at $3$ then shade the region to the right.
