Answer
$x\leq -6$ or $x\gt2$
Work Step by Step
We see that the graph is shaded for all values less than $-6$, so we know that the inequality should represent that a variable, x is always less than $-6$. Since $-6$ itself is not shaded in, we know that x is strictly less than $-6$.
$x\leq -6$
The graph is shaded for all values above $2$, so we know that x is greater than $2$. $2$ is not shaded on the graph, so we know that x is strictly greater than $2$. $x\gt2$