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Math Help - Integer Inequality Proofs

  1. #1
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    Integer Inequality Proofs

    Let m,n,p,q be elements of the Integers.

    (i) If m < n then m+p < n+p

    (ii) If m < n and p < q then m+p < n+q


    Any help with the above proofs would be appreciated!
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  2. #2
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    Quote Originally Posted by jstarks44444 View Post
    Let m,n,p,q be elements of the Integers.

    (i) If m < n then m+p < n+p

    (ii) If m < n and p < q then m+p < n+q


    Any help with the above proofs would be appreciated!

    Elementary properties of the integers and induction, first on the naturals then the whole thing

    Tonio
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