How do you solve absolute value inequalities?
1 Answer
Jul 22, 2018
There are many facets to this question. I will address a simply one and let the questioner expand to a specific example he/she may have.
Assume:
Then, either
Applying the rules of inequalities, either
Which leads to the compound inequality:
Therefore in solving absolute value inequalities of this and similar forms simply consider both positive and negative possibilities of the function and solve for each.
Example:
Either
Or
Thus:
Which can be expressed in interval notation as: