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Thread: Union of Transitive Relations

  1. September 8th 2008, 08:29 AM #1
    GoldendoodleMom
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    Union of Transitive Relations

    What would a counterexample look like to prove the union of two transitive relations on the same set need not be transitive?
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  2. September 8th 2008, 08:39 AM #2
    Plato
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    On the set \left\{ {a,e,i,o,u} \right\} both R = \left\{ {\left( {a,e} \right)} \right\}\,\& \,S\left\{ {\left( {e,i} \right)} \right\} are transitive.
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