Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 1 - Equations and Inequalities - 1.8 Absolute Value Equations and Inequalities - 1.8 Exercises: 6

Answer

$A$

Work Step by Step

RECALL: $|x| \ge a \longrightarrow x \ge a \text{ or } x \le -a$ Using the rule above gives: $|x| \ge 7 \longrightarrow x \ge 7 \text{ or } x \le -7$ Thus, the solutions to the given inequality are the numbers that are either less than or equal to $-7$ or greater than or equal to $7$. The graph that represents these numbers is the one in Option $A$.
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