$x \lt 6$ Please see image
Work Step by Step
$3-x \gt x-9\qquad$ ...subtract $x$ from each side. $3-x-x \gt -9\qquad$ ...simplify. $3-2x \gt -9\qquad$ ...subtract $3$ from each side. $-2x \gt -9-3\qquad$ ...simplify. $-2x \gt -12\qquad$ ...divide with $(-2)$ ...dividing with a negative inverts the inequality sign. $x \lt 6$ The solutions of the given inequality are all real numbers less than $6$. Smaller numbers are to the left of $6$. Use an open dot in the graph to indicate $6$ is not a solution.