Answer
$\left( -\infty,2 \right]$
Work Step by Step
Using the properties of inequality, the given inequality, $
-5x\ge-10
,$ simplifies to
\begin{array}{l}\require{cancel}
x\le\dfrac{-10}{-5}
\\\\
x\le2
.\end{array}
Hence, the solution is the interval $
\left(- \infty,2 \right]
.$
