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Math Help - Relations

  1. #1
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    Relations

    Question: Suppose a relation R on a set A is reflexive, symmetric, transitive and antisymmetric. What can you conclude about R? Prove your answer.

    Ok, so I think the conclusion is that any element in A only relates to themself but I'm not too sure if I'm right. If x and y are the only elements in set A and x relates to x and y relates to y, then it is reflexive, symmetric, transitive and antisymmetric. Am I completely off base?
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  2. #2
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    Quote Originally Posted by Tania View Post
    Question: Suppose a relation R on a set A is reflexive, symmetric, transitive and antisymmetric. What can you conclude about R?
    Is this equality?
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  3. #3
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    I confused. I don't think it's equality...
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