Answer
$x\gt 3$
Please see image
Work Step by Step
$ 2x-6\gt 3-x\qquad$ ...add $x$ to each side of the inequality.
$ 2x-6+x\gt 3-x+x\qquad$ ...simplify.
$ 3x-6\gt 3\qquad$ ...add $6$ to each side of the inequality.
$ 3x-6+6\gt 3+6\qquad$ ...simplify.
$ 3x\gt 9\qquad$ ...divide with $3$.
$x\gt 3$
The solutions of the given inequality are all real numbers greater than $3$.
Greater numbers are to the right of $3$.
Use an open dot in the graph to indicate $3$ is not a solution.
