Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 1 - Precalculus Review - 1.1 Real Numbers, Functions, and Graphs - Exercises - Page 10: 21


$(-\infty, -\sqrt 3) $ U $(\sqrt 3, \infty)$

Work Step by Step

1.) Set the inequality equal to what it originally equaled, and then set it equal to the opposite sign of that number with the opposite inequality sign: $ x^{2}-1 2 $ 2.) Solve the first inequality for x: $x^{2}3$ $x>±\sqrt 3$ 5.) Identify the interval of x values for the inequality: $(-\infty, -\sqrt 3) $ U $(\sqrt 3, \infty)$ 6.)Combine the two intervals (using a union) $(-\infty, -\sqrt 3) $ U $(\sqrt 3, \infty)$
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