# How do you solve the inequality: #(x+6)(x-6)>0#?

##### 1 Answer

Aug 29, 2015

#### Explanation:

Notice that the left-hand side of the equation is actually a product of two expressions,

In order for this product to be positive, you need both terms to either be **positive** or either be **negative**.

For values of

#{(x+6 > 0), (x-6 >0) :} implies (x+6)(x-6) > 0#

For values of

#{(x+6 < 0), (x-6 < 0) :} implies (x+6)(x-6) > 0#

This means that any value of **smaller** than **greater** than