Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.1 - Real Numbers - 1.1 Exercises - Page 11: 65

Answer

$(-\infty,-4)\cup(4,\infty)$

Work Step by Step

The union symbol ($\cup$) combines these two intervals. So, when you take the union of $(-\infty,-4)$ and $(4,\infty)$, you get a set that includes all real numbers less than $-4$ or greater than $4$, excluding $-4$ and $4$ themselves. The graph on the number line has open circles at $-4$ and $4$, and arrows extending infinitely in both directions.
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