## Intermediate Algebra: Connecting Concepts through Application

$\bf{\text{Solution Outline:}}$ Use the definition of absolute value to analyze the solution to the given equation, $|s-4|=-15 .$ $\bf{\text{Solution Details:}}$ 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 $\text{ no solution .}$