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: