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: 66

Answer

Refer to the image below for the graph.

Work Step by Step

The interval $(-\infty, 6]$ contains the real numbers less than or equal to $6$. The interval $(2, 10)$ contains the real numbers between but not including $2$ and $10$. Intersection means getting the elements that are common to both sets. The elements that are common to the two sets are the numbers between 2 and 6, including 6 itself but not $2$. To graph this set, plot a solid dot at 6 and a hole at 2. Then, shade the region between them. (refer to the attached image in the answer part above)
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