I need to find the domain of

$\displaystyle

\frac{(x-1)(3-x)}{(x-2)^2}<=0

$

my choices are:

$\displaystyle

A) (-\infty, 1) or (3, \infty)

$

$\displaystyle

B) (-\infty, -3) or(-1,\infty)

$

$\displaystyle

C) (-\infty, -3] or (-2,-1)or[1,\infty)

$

$\displaystyle

D) (-\infty, 1] or [3, \infty)

$

Im coming up with

$\displaystyle

1<=x<2 or 2<x<=3

$

What am I doing wrong?