#### Answer

no solution

#### Work Step by Step

$\bf{\text{Solution Outline:}}$
To solve the given inequality, $
|7-2x|\le-9
,$ use the definition of absolute value to analyze the given inequality.
$\bf{\text{Solution Details:}}$
The absolute value of $x$, given by $|x|,$ is the distance of $x$ from $0,$ and hence is always a nonnegative number. Therefore, for any $x,$ the expression at the left, $
|7-2x|
,$ is nonnegative. This is NEVER less than or equal to the negative expression at the right. Hence, there is $\text{
no solution
.}$