## Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole

# Chapter 2 - Systems of Linear Equations and Inequalities - 2.5 Absolute Value Equations and Inequalities - 2.5 Exercises: 7

no solution

#### Work Step by Step

$\bf{\text{Solution Outline:}}$ Use the definition of absolute value to analyze the solution to the given equation, $|k+10|=-3 .$ $\bf{\text{Solution Details:}}$ The absolute value of $x,$ given as $|x|,$ is the distance of $x$ from $0.$ Hence, it is a nonnegative number. In the same way, the left side of the given expression is always a nonnegative number. This will never be equal to the negative number at the right side. Hence, there is $\text{ no solution .}$

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