# How do you solve #x/(x+6)>=0#?

##### 1 Answer

#### Explanation:

Before we begin, we have an implicit restriction of

For the case where

For the case where

For both the both positive case, we have two inequalities:

Simplify the second inequality:

Please observe that there are numbers from -6 to 0 that would cause the numerator to become negative, therefore, we must use

For the both negative case, we have two inequalities:

Again, we simplify:

Again, the numbers from 0 to -6 would cause a conflict, therefore, we use

Combining the 3 answers we obtain the two ranges: