Answer
$\ge$
Work Step by Step
$\bf{\text{Solution Outline:}}$
Use the properties of inequality to solve the given inequality, $
-5x\le30
.$ Use the resulting solution to complete the relationship of $
x
\text{ and }
-6
.$
$\bf{\text{Solution Details:}}$
Dividing both sides by a negative number (and consequently reversing the inequality symbol)
\begin{array}{l}\require{cancel}
-5x\le30
\\\\
\dfrac{-5x}{-5}\le\dfrac{30}{{-5}}
\\\\
x\ge-6
.\end{array}
Hence, the symbol that completes the relationship of $x$ and $-6$ is $"
\ge
".$