Answer
Solution in interval notation:
$(6,\infty)$
See graphs below:
Work Step by Step
We are asked to solve the following pair of inequalities:
$x \gt 3$ and $x \gt 6$
Since each equation already has $x$ isolated on one side, we simply need to graph each inequality. The solution consists of the points that overlap for both inequalities (see the 3rd graph). In this case, the solution is:
$x\gt 6$
or, in interval notation:
$(6,\infty)$
See the graph below. The first and second graphs show the given inequalities. The third graph shows the solution.
