Answer
equivalent
Work Step by Step
Using the properties of inequality, the given expression, $-2\gt x,$ is equivalent to
\begin{array}{l}\require{cancel}
-2\gt x
\\\\
-x\gt 2
\\\\
-1(-x)\gt -1(2)
\\\\
x\lt -2
.\end{array}
The inequality above is the same as the other given inequality, $x\lt-2.$ Hence, the given expressions are $\text{
equivalent
.}$