Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Appendix A - Review - A.6 Solving Equations - A.6 Assess Your Understanding - Page A51: 59

Answer

no solution

Work Step by Step

Recall that for any real number $a$, $|a|\ge0$. Thus, the given equation $\left | x-2 \right |=-\frac{1}{2}$ has no solution since the absolute value of any real number is never negative.
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