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March 29, 2017

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Let A, B and C be the sets such that A ∪ B = A ∪ C and A ∩ B = A ∩ C.

Show that B = C.

  • maths - ,

    you can easily prove oit with a Venn diagram.
    If not: A¾B=A+B-A¿B=A+B-A¿C
    AUC=A+C-A¿C
    As AUB=AUC then A+B-A¿C=A+C-A¿C hence; B=C

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