College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 1 - Section 1.6 - Equations and Inequalities Involving Absolute Value - 1.6 Assess Your Understanding: 5


The equation $\mid x\mid=-2$ has no solution.

Work Step by Step

RECALL: For any real numebr $x$, $|x| \ge 0$ The rule above means that the absolute value of any real number is either 0 or a positive number. In the given statement, the absolute value of a real number $x$ is said to be equal to $-2$. This is not possible, so the equation $\mid x\mid=-2$ has no solution.
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