Answer
$x\gt5$
Work Step by Step
Using the properties of inequalities, the solution to the given inequality, $
-6\gt-2x+4
,$ is
\begin{array}{l}\require{cancel}
-6-4\gt-2x
\\\\
-10\gt-2x
\\\\
\dfrac{-10}{-2}\lt x
\\\\
5\lt x
\\\\
x\gt5
.\end{array}