# How do you solve #abs(8-3n)<=18#?

##### 1 Answer

Every absolute value expression has two domains, one that is positive and one that is negative. Write both inequalities and find the respective ranges.

#### Explanation:

We write definition of the given absolute value expression as two equations with two different domain restrictions:

and

Simplify the domain restrictions:

and

Use the above to create two inequalities with the two domain restrictions:

and

Solving the ranges:

and

The two inequalities in [1] contradict so it must be discarded but [2] does not have a contradiction; we can write it as: