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Math Help - Sets, Equivalence Class/Relations

  1. #1
    Junior Member scottie.mcdonald's Avatar
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    Sets, Equivalence Class/Relations

    The title of this question may be misleading, but I think this is what the question would fall under. The question is:

    Let A=the set of natural numbers. Define a binary relation R on AxA as follows: for all (a,b) and (c,d)EAxA, (a,b)R(c,d) if and only if a+d=c+b

    a). list five elements in [(1,1)]
    b). list five elements in [(3,1)]

    our study group is having trouble with this, and we don't know what the question is asking. This is a practice question for the midterm, so any help on this would be nice.

    Thank you,
    Scott
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  2. #2
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    Quote Originally Posted by scottie.mcdonald View Post
    Let A=the set of natural numbers. Define a binary relation R on AxA as follows: for all (a,b) and (c,d)EAxA, (a,b)R(c,d) if and only if a+d=c+b
    a). list five elements in [(1,1)]
    b). list five elements in [(3,1)]
    Here is the b part: [(3,1)]=(4,2);(5,3);(6,4);(7,5);(8,6).
    You see that 3+6=1+8?
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  3. #3
    Junior Member scottie.mcdonald's Avatar
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    yup, I see how that works. Thanks for the help

    Scott
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