Question

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

Answer 1

You can graph the inequality to see where `(x-5)(x-12)` is greater than `0`.

Explanation:

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

`(x-5)(x-12)` is greater than `0` when `x<5` and when `x>12`.

In interval notation, you can write it as `(-oo,5) uu (12,oo)`.