$x\gt 3$ 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.