Answer
The graph is a number line with a shaded region between -2 and 1 with open circles at -2 and 1.
Work Step by Step
In interval notation parenthesis are non-inclusive are are represented using open circles.
1. Set (-2, 0) is all the numbers between -2 and 0 not including -2 or 0.
2. Set (-1, 1) is all the numbers between -1 and 1 not including -1 or 1.
3. The union (-2,0) U (-1, 1) is the combination of all numbers in either set.
4. This means that -1 is in the union because it is in the set (-2, 0).
5. And 0 is in the union because it is in the set (-1, 0).
6. Therefore, the union is the interval (-2, 1).
7. The graph is a number line with a shaded region between -2 and 1, and open circles at -2 and 1.
