Question

How do you know if an absolute value inequality is "No Solution" or not?

Answers

Count Iblis
You have to try to solve the inequality and then conclude at some point that there are no solutions. Sometimes you can use some inequalities that always hold, like:

|a| >= 0

|a+b| <= |a| + |b|

etc.

If you can rearrange an inequality so that it contradicts these standard inequalities, it cannot have a solution.

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