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

The absolute value of $x,$ written as $|x|,$ is the distance of $x$ from $0,$ and hence, is always a nonnegative number. Therefore, the left side of the given inequality, $|x-3|\lt-5 ,$ is always nonnegative. This is never less than the negative expression at the right. That is, there are no real values that will satisfy the given inequality. Hence, $\text{ Choice A .}$