Asked by Angie
How do you know if an absolute value inequality is "No Solution" or not?
Answers
Answered by
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.
|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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