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Math Help - relations

  1. #1
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    relations

    R = {(a,b)/ a>b} on the set of positive integers.

    Find the smallest relation that is both reflexive and symmetric...

    Is it...

    R={ (a,b)/ a>=b} or is it wrong?
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  2. #2
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    Quote Originally Posted by robocop_911 View Post
    R = {(a,b)/ a>b} on the set of positive integers. Find the smallest relation that is both reflexive and symmetric...
    I have absolutely no idea what "smallest" could possibly mean in this context.
    But here is a very simple one: E = \left\{ {\left( {x,y} \right)|x = y} \right\}.
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