Answer
Refer to the image below for the graph.
Work Step by Step
Union means combining the elements of the sets involved.
The interval $(-2, 0)$ contains the real numbers between $-2$ and $0$ (but not -2 and 0 themselves).
The interval $(-1, 1)$ contains the real numbers between $-1$ and $1$ (but not including -1 and 1 themselves).
Combining these two sets will include all real numbers between $-2$ and $1$, but not including $-2, -1, 0,$ and $1$.
To graph this, plot holes at $-2, -1, 0,$ and $1$.
Then shade the regions in between them.
(refer to the attached image in the answer part above)