Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Appendix A - Review - A.10 Internal Notation; Solving Inequalities - A.10 Assess Your Understanding - Page A87: 33

Answer

$ -3\lt x \lt -2$. See the figure below.

Work Step by Step

The given interval uses parentheses on both ends so its equivalent inequality notation would involve $\lt$ on both ends. Thus, the given interval can be written as $ -3\lt x \lt -2$. To graph, plot circles at $ x=-3$ and $x=-2$, then shade the region in between. See the figure below.
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