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: