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: 59

Answer

a) $[-3,5]$ b) $(-3,5]$

Work Step by Step

a) For interval notation, the closed points at $-3$ and $5$ mean that those points are included, and therefore each end is enclosed with a square bracket instead of a parenthesis. b) For interval notation, the open point at $-3$ means $x$ cannot be -3 so this is enclosed by a parenthesis, however the closed point at $5$ means that $x$ can be $5$ and therefore $5$ is enclosed with a bracket.
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