#### Answer

Choice B

#### Work Step by Step

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|\gt-5
,$ is always nonnegative. This is always greater than the negative expression at the right. That is, all real values will satisfy the given inequality. Hence, $\text{
Choice B
.}$