Answer
Refer to the image below for the graph.
Work Step by Step
The interval $(-\infty, -4)$ contains the real numbers less than $-4$..
The interval $(4, +\infty)$ contains the real numbers greater than $4$.
Union means combining the elements common of the two sets involved.
Combining the elements of the two given sets will include all the real numbers except the number from $-4$ to $4$.
To graph this, plot holes at $-4$ and $4$
Then, shade the region to the left of $-4$ and the region to the right of $4$.
(refer to the attached image in the answer part above)
