Answer
$(-\infty,1)\cup(5,\infty)$.
The graph is shown below.
Work Step by Step
The given compound inequality is
$\Rightarrow 3x\lt3$ or $2x\gt10$.
Solve each inequality separately.
$\Rightarrow 3x\lt3$ or $2x\gt10$.
$\Rightarrow x\lt1$ or $x\gt5$.
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.
$x\lt1$ as $(-\infty,1)$ and $x\gt5$ as $(5,\infty)$
The union is
$(-\infty,1)\cup(5,\infty)$.
