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6 April, 03:27

A Venn diagram is shown below: a venn diagram showing two categories, A and B. In the A only circle is 3 and 4, in the B circle is 5 and 6, in the intersection is 1 and 2, and in outside the circles is U What are the elements of (A ∩ B) '?

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  1. 6 April, 05:13
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    I would have wished to see Venn Diagram, however I will try to answer this problem:

    A={1,2,3,4}

    B={1,2,5,6}

    (A∩B) = {1,2}

    The complement of (A∩B) is (A∩B) '

    (A∩B) ' = A'∪B' (De Morgan's law)

    A' = {5,6} and B'={3,4}

    A'∪B' = {5,6} ∪ {3,4}

    A'∪B' = (A∩B) ' = {3,4,5,6}
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