Answer
$(-\infty,-3)\cup(4,\infty)$.
The graph is shown below.
Work Step by Step
The given compound inequality is
$\Rightarrow 3x\gt12$ or $2x\lt-6$.
Solve each inequality separately.
$\Rightarrow 3x\gt12$ or $2x\lt-6$.
$\Rightarrow x\gt4$ or $x\lt-3$.
First graph then take the union of the solution sets of the two inequalities.
The graph is shown in the image file.
We can write the compound inequality.
$x\gt4$ as $(4,\infty)$ and $x\lt-3$ as $(-\infty,-3)$
The union is
$(-\infty,-3)\cup(4,\infty)$.
