Answer
$(-∞3)$U$(3,∞)$
Work Step by Step
$$(x-3)^2 \gt 0$$ $$\sqrt{(x-3)^2} \gt \sqrt{0}$$ which breaks into two possibilities: $$x - 3 \gt 0$$ $$AND$$ $$x-3 \lt 0$$ These conditions give us two intervals: $x \gt 3$ and $x \lt 3$, which can be written as {$x|(-∞3)$U$(3,∞), x$ belongs to the Realm of all Real Numbers}.