Answer
Set notation:$\quad \{x|x\leq \frac{2}{3}\}$
Interval notation:$\quad\left(-\infty, \frac{2}{3}\right]$.
The graph is shown below.
Work Step by Step
Use distributive property.
$4-3+3x\leq 3 $
Simplify.
$1+3x\leq 3 $
Subtract $1$ from both sides.
$1+3x-1\leq 3-1 $
Simplify.
$3x\leq 2 $
Divide both sides by $3$.
$\dfrac{3x}{3}\leq \dfrac{2}{3} $
Simplify.
$x\leq \dfrac{2}{3} $
The solution set is $\{x|x\leq \frac{2}{3}\}$
or interval notation is $(-\infty, \frac{2}{3}]$.
To graph, use a close bracket at $\frac{2}{3}$ then shade the region to the left
