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Math Help - New to discrete math

  1. #1
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    New to discrete math

    I am very new here and am learning Direct Proofs.

    The question is this

    prove for all integers m and n, if m and m + n are even, then n is even.


    haha i am retarded ... i left out m in m+n

    nm... i wasn't interpreting what it was truely trying to ask.
    thanks anyways.
    Last edited by mcox05; October 30th 2008 at 03:36 AM.
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  2. #2
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    Quote Originally Posted by mcox05 View Post
    Prove for all integers m and n, if m and m + n are even, then n is even.
    Given: m=2k & m+n=2j.
    So n=2j-m=2j-2k=2(j-k).
    What does that mean about n?
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  3. #3
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    Thank you! ... after looking at it I realized how far off I was.

    I have another example I wanted to go over


    for rational numbers x, if x doesn't equal 0, then 1/x is rational.

    As I understand rational numbers, the are 0 and beyong and everywhere inbetween. But what other properties do they possess that I can use to prove this?
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