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Math Help - relation problem2

  1. #1
    Newbie
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    Aug 2011
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    relation problem2

    hey guys
    please help me again! the binary relations P on Z x Z+ is defined as
    (x1,y1)P(x2,y2) <=> x1 x y1 =x2 x y1
    for all x1,x2 belong to Z and y1,y2 belong to Z+

    prove that this is an equivalence relation and specify the equivalence class
    [(2,3)] as induced by P

    thank you very much!
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  2. #2
    MHF Contributor
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    Re: relation problem2

    Why don't you write the definition of an equivalence relation and start proving it in this case? There are several steps that can be done almost without thinking.
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