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)