Answer
$(-\infty, -5] \cup [6, +\infty)$
Refer to the graph below.
Work Step by Step
Recall:
The union of sets $A$ and $B$, denoted by $A\cup B$, is the set that contains the combined elements of $A$ and $B$.
The first graph represents $(-\infty, -5]$.
The second graph represents $[6, +\infty)$.
Thus, the union of the two given sets is $(-\infty, -5] \cup [6, +\infty)$.
To graph this solution set, plot a solid dot at $-5$ then shade the region to its left, and plot a solid dot at $6$ then shade the region to its right.
Refer to the graph above.