# How do you solve #((x-1)(3-x))/(x-2)^2>=0#?

##### 2 Answers

#### Explanation:

The denominator is always positive, so the sign of

The numerator is positive when both factors are positive or both are negative.

So

The answer is

#### Explanation:

Let

The domain of

Also the denominator is

So, we make the sign chart

So,

graph{((x-1)(3-x))/(x-2)^2 [-12.66, 12.65, -6.33, 6.33]}