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Math Help - [SOLVED] logic sets equvalence relation

  1. #1
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    [SOLVED] logic sets equvalence relation

    urgently need help
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  2. #2
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    Hello, srk619!

    State, with reasons, whether the raltion R on N\times N,

    . . given by mRn\text{ if }m \geq n is an equivalence relation.

    Reflexive: .Is aR\,a for all a?

    . . Since  a \geq\,a for all a, it is reflexive.


    Symmetric: .If aR\,b, does bR\,a ?

    . . If a \geq b, then it may or may not be true that: b \geq a

    . . Hence: R is not symmetric.


    Therefore, R is not an equivalence relation.

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  3. #3
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    thanks sorban you been a great help
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