Use the free Absolute Value Inequalities Calculator on ToolVexa to solve an inequality of the form |ax + b| < c and see its solution interval.
How to Use
Enter a, b and c for |ax + b| < c, then press Calculate.
Formula in Plain Words
The inequality |ax + b| < c means -c < ax + b < c. Solve both sides for x to get the interval.
Worked Example
For |x| < 5, with a = 1, b = 0 and c = 5, the solution is -5.00 < x < 5.00.
FAQs
What if c is negative?
There is no solution, because an absolute value is never negative.
What if a is negative?
The interval is still found by solving both sides and putting the smaller endpoint first.
Does this handle <= instead of <?
This tool uses a strict inequality, so the endpoints are not included.