# How do you solve and write the following in interval notation: (2-x)/(x-9)>0?

Jun 1, 2017

$x \in \left(2 , 9\right)$

#### Explanation:

Quotient and product are almost the same.

$\frac{x - 2}{x - 9} < 0$

$\left(x - 2\right) \left(x - 9\right) < 0$

Parabola turned up.

$2 < x < 9$