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Math Help - Numerical

  1. #1
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    Numerical

    I desperately need help with this numerical:
    Consider the following relation R on A ={1,2,3,4,5,6,7}. The relatin holds for numbers x,y if x-y is a multiple of 3.
    Check whether R is reflexive, symmetric, transitive and anti-symmetric.

    I need to show the process as well.
    Any help will be highly appreciated.
    Thanks.
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  2. #2
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    Quote Originally Posted by dismath View Post
    I desperately need help with this numerical:
    Consider the following relation R on A ={1,2,3,4,5,6,7}. The relatin holds for numbers x,y if x-y is a multiple of 3.
    Check whether R is reflexive, symmetric, transitive and anti-symmetric.
    Is x-x always a multiple of 3?

    If x-y is a multiple of 3, then is y-x a a multiple of 3?

    If x-y~\&~y-z are a multiples of 3, then is x-z=(x-y)+(y-z) a multiple of 3?
    Last edited by Plato; September 7th 2009 at 06:46 AM.
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  3. #3
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    Quote Originally Posted by Plato View Post
    Is x-x always a multiple of 3?

    If x-y is a multiple of 3, then is y-x a a multiple of 3?

    If x-y~\&~y-z are a multiples of 3, then is x-z=(x-y)-(y-z) a multiple of 3?
    Surely, in the last line you meant x-z = (x-y)+(y-z)
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  4. #4
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    ok, where does z come in? The question doesn't have z. Nothing besides the question is given.
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  5. #5
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    Quote Originally Posted by dismath View Post
    ok, where does z come in? The question doesn't have z. Nothing besides the question is given.
    What does the transitive property say? Do you know?
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