Answer
$x\ge-\dfrac{1}{4}$
Work Step by Step
$\bf{\text{Solution Outline:}}$
Use the properties of inequality to solve the given inequality, $
-8x\le2
.$
$\bf{\text{Solution Details:}}$
Dividing both sides by $-8$ (and consequently reversing the inequality symbol), the inequality above is equivalent to
\begin{array}{l}\require{cancel}
-8x\le2
\\\\
x\ge\dfrac{2}{-8}
\\\\
x\ge-\dfrac{1}{4}
.\end{array}
