Answer
$x \lt 6$
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.
