Answer
$x\le-21$
Work Step by Step
Using the properties of inequalities, the solution to the given inequality, $
-2x-1\ge41
,$ is
\begin{array}{l}\require{cancel}
-2x\ge41+1
\\\\
-2x\ge42
\\\\
x\le\dfrac{42}{-2}
\\\\
x\le-21
.\end{array}