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Venn diagram question

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  • 28-12-2016 7:07am
    #1
    Closed Accounts Posts: 346 ✭✭


    Hey. I have a question I wonder if anyone could answer for me. It's from last year's Higher JC Maths paper.

    There are a number of identities in set notation and the question asks for you to say in each case whether they are: always true, sometime true (by which they ofc mean "possible") and never true.

    The one I'm having trouble with is AUC = A∩C, which the marking scheme says is never true. I've represented the equality on a Venn diagram which is attached.

    It seems to me that if (A∩C)' is a null set, then the identity is true. Can someone set me right?

    Thanks in advance


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