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March 11th, 2014, 12:01 AM   #1
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When is it true?

If m and n are integers, under what circumstances will m^2 - n^2 be positive?

My answer is when |m|>|n|, statement m^2 - n^2 > 0

Is this the correct answer? Is there a better way to see the problem? thanks
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March 11th, 2014, 06:36 AM   #2
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Re: When is it true?

Quote:
Originally Posted by shunya
My answer is when |m|>|n|, statement m^2 - n^2 > 0

Is this the correct answer?
Yes, it is correct. It is equivalent to .
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March 11th, 2014, 06:44 AM   #3
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Re: When is it true?

Quote:
Originally Posted by Nehushtan
It is equivalent to .
No, (m, n) = (-4, -6) implies m > n or m < -n but m^2 - n^2 < 0.
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March 11th, 2014, 08:30 AM   #4
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Re: When is it true?

But the OPs answer of |m| > |n| is correct nonetheless.
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March 12th, 2014, 04:36 AM   #5
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Re: When is it true?

Sorry, my mistake.

is equivalent to .
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