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Math Help - Equality of Sets

  1. #1
    Junior Member
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    Oct 2008
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    69

    Equality of Sets

    Hi,
    I have a question that I actually don't even know how to start:

    There are three sets: A, B, and C. If intersection of A and C equals intersection of B and C AND the union of A and C equals union of B and C, can you conclude that A = B?

    All I know is that either parts of the question individually DO NOT confirm that A = B, but after that, I don't know how to prove if both of them put together show equality. Any help would be greatly appreciated. Thank you!
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  2. #2
    Junior Member
    Joined
    Oct 2008
    Posts
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    Ok, so i've tried several examples, and they are all leading me to think that this is true... but how do i prove it???? PLEASE help me out!
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