# How do you solve the inequality: #(x - 3) (x - 5) > 0#?

##### 1 Answer

Aug 28, 2015

#### Explanation:

In order for this inequality to be true, you need **both be positive** or **both be negative**.

For any value of

#{(x-3 > 0), (x-5>0) :} implies (x-3)(x-5)>0#

For any value of

#{(x-3<0), (x-5<0):} implies (x-3)(x-5)>0#

This inequality will thus be satisfied for any value of

On the other hand, any value of **not** be a valid solution.