Prove that mn < 0 if and only if m > 0 and n < 0 or m < 0 and n > 0

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Mathematics

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Prove that mn < 0 if and only if m > 0 and n < 0 or m < 0 and n > 0

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Dtudeid Dtudeid · Answer 1

Dtudeid Dtudeid

Only one number can but negative for it to be true.

If both positive then product is positive

If both negative then product is also positive

(-1)*(-1)=1

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