Answer
Set notation: $\quad\{x|x\lt5\}$
Interval notation:$\quad(-\infty,5 )$.
The graph is shown below.
Work Step by Step
Use distributive property.
$-3+3x\lt 12 $
Add $3$ to both sides.
$-3+3x+3\lt 12+3 $
Simplify.
$3x\lt 15 $
Divide both sides by $3$.
$\dfrac{3x}{3}\lt \dfrac{15}{3} $
Simplify.
$x\lt 5 $
The solution set is $\{x|x\lt5\}$
or interval notation is $(-\infty,5 )$.
To graph, use an close parenthesis at $5$ then shade the region to the left.
