Answer
$(2,∞)$
Work Step by Step
$3/(x-2) >2$
Denominator is zero when $x-2=0$
$x-2=0$
$x-2+2=0+2$
$x=2$
Two regions to test: $(-∞, 2)$ and $(2,∞)$
Let $x=0$ and $x=3$
$x=0$
$3/(x-2) >2$
$3/(0-2) >2$
$3/-2 >2 $
$-3/2 >2$ (false)
$x=3$
$3/(x-2) >2$
$3/(3-2) >2$
$3/1 >2$
$3 >2$ (true)
