Answer
$(3,\infty)$.
The graph is shown below.
Work Step by Step
The given compound inequality is
$x\gt3$ or $x\gt6$.
First graph then take the union of the two inequality.
The graph is shown in the image file.
We can write the compound inequality.
$x\gt3$ as $(3,\infty)$ and $x\gt6$ as $(6,\infty)$
The union is
$(3,\infty)\cup(6,\infty)=(3,\infty)$.
