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Math Help - Order of Operation for Set Notation

  1. #1
    Junior Member
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    Order of Operation for Set Notation

    Hello all,

    Let:
    U = {1,2,3,...,10}
    A = {1,4,7,10}
    B= {1,2,3,4,5}
    C = {2,4,6,8}
    u = union symbol
    n = intersection symbol

    (not A) n (not B) u (C)

    After evaluating the not A and not B should the (not B) u (C) be evaluated first or should (not A) n (not B) be evaluated first?
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  2. #2
    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by sedemihcra View Post
    Hello all,

    Let:
    U = {1,2,3,...,10}
    A = {1,4,7,10}
    B= {1,2,3,4,5}
    C = {2,4,6,8}
    u = union symbol
    n = intersection symbol

    (not A) n (not B) u (C)

    After evaluating the not A and not B should the (not B) u (C) be evaluated first or should (not A) n (not B) be evaluated first?
    This doesn't make sense. Are you missing parentheses?
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  3. #3
    Junior Member
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    For that problem there are no parentheses. Also the not is over the A and the B, but not the C. Would that indicate that I should evaluate the (not A) n (not B) then the u C?

    The above statement is wrong. I misused De Morgan's laws for sets. I forgot to switch the intersection symbol to a union symbol. The problem should read:
    (not A) u (not B) u (C)
    Last edited by sedemihcra; February 4th 2010 at 07:07 AM. Reason: solved the problem
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