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Proof for if x and y are odd then xy is odd

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Hello,
I was hoping someone could help me with this homework problem? I have looked through my text and notes and I cannot figure this out.

The problem is below.

Thank you, in advance, for your help!!

Prove the following: If x is any odd integer and y is any odd integer then xy is an odd integer.

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Prove the following: If x is any odd integer and y is any odd integer then xy is an odd ...

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