Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 9 - Inequalities and Problem Solving - Review Exercises: Chapter 9 - Page 623: 36


no solution

Work Step by Step

The absolute value of $x,$ written as $|x|,$ is the distance of $x$ from $0.$ Since it is a distance, then $|x|$ is a nonnegative number. In the same way, the left side of the given equation, $|5n+6|=-11,$ is always a nonnegative number for any value of $n.$ This will never be equal to the negative value at the right side. Hence, there is no solution.
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