College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter P, Prerequisites - Section P.2 - Real Numbers - P.2 Exercises - Page 16: 61

Answer

Refer to the image below for the graph.
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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)
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