# How do you solve and write the following in interval notation: (x-5)(x-12)>0?

Jul 4, 2017

You can graph the inequality to see where $\left(x - 5\right) \left(x - 12\right)$ is greater than $0$.

#### Explanation:

graph{(x-5)(x-12) [-11.65, 28.91, -13.22, 7.05]}

$\left(x - 5\right) \left(x - 12\right)$ is greater than $0$ when $x < 5$ and when $x > 12$.

In interval notation, you can write it as $\left(- \infty , 5\right) \cup \left(12 , \infty\right)$.