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Math Help - sets

  1. #1
    Newbie
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    Oct 2005
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    sets

    Hi I am really stuck with this question... any hints most appreciated

    The symmetric difference between two sets is defined as

    A (triangle) B = (A-B) U (B-A)

    (b) Prove (algebraically) that (A-B) U (B-A) = (AUB) -(AnB)

    (c)If A is the set of even integers and B the set of integers which are multiples of 3, describe the set (AUB) - (AnB)
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  2. #2
    Junior Member
    Joined
    Aug 2008
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    38
    Quote Originally Posted by alexis View Post
    Hi I am really stuck with this question... any hints most appreciated

    The symmetric difference between two sets is defined as

    A (triangle) B = (A-B) U (B-A)

    (b) Prove (algebraically) that (A-B) U (B-A) = (AUB) -(AnB)

    (c)If A is the set of even integers and B the set of integers which are multiples of 3, describe the set (AUB) - (AnB)
    for c i am saying
    A = {2,4,6,8....}
    B = {3,6,9.....}
    AUB = {2,3,4,6,8,9...}
    A(INT)B = {6 ...}
    (AUB)-(AintB)={2,3,4,8,9...}
    Aint B - A intersection of B
    the ending number was not mentioned by u so can't say perfectly
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