Answer
$\gt$
Work Step by Step
$\bf{\text{Solution Outline:}}$
Use the properties of inequality to solve the given inequality, $
-3x\lt-15
.$ Use the resulting solution to complete the relationship of $
x
\text{ and }
5
.$
$\bf{\text{Solution Details:}}$
Dividing both sides by a negative number (and consequently reversing the inequality symbol)
\begin{array}{l}\require{cancel}
-3x\lt-15
\\\\
\dfrac{-3x}{-3}\lt\dfrac{-15}{-3}
\\\\
x\gt5
.\end{array}
Hence, the symbol that completes the relationship of $
x
$ and $
5
$ is $"
\gt
".$
