#### Answer

no solution

#### Work Step by Step

$\bf{\text{Solution Outline:}}$
Use the concepts of absolute value expressions to solve the given inequality, $ |18-3x|\lt-13 .$
$\bf{\text{Solution Details:}}$
The absolute value of a number is the distance of the number from $0,$ and hence, is always a nonnegative number. For any $x$, the given absolute value expression at the left side is always a nonnegative number. This will never be $\text{ less than }$ the negative expression at the right. Hence, there is $\text{ no solution .}$