Problem 171 of 7
Correct the rational/irrational reasoning error in pi - pi is irrational because the difference of two irrational numbers is always irrational.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
catch overgeneralization and missed exceptions.
Hidden until you reveal it.
Worked explanation must contain overgeneralization, cancellation error, or missed zero exception.
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Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Identify the claimed closure rule or simplification.
2. Test it against known rational/irrational properties.
3. Correct the statement using a theorem or counterexample.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Only giving the final classification without explaining the reasoning error.