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Math Help - Simple Set Questions

  1. #1
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    Simple Set Questions

    Note: v means union and ^ means intersect

    If A is a set and U is the universe,

    Is:

    A v A = A
    A v A = U (or I think it might be A)
    A ^ null set = A
    A v null set = A

    And finally if A is a subset of U,

    Is:

    null set v A = A
    complement of the null set = U

    Thanks for looking!
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  2. #2
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    Hello
    Quote Originally Posted by DiscreteW View Post
    Note: v means union and ^ means intersect

    If A is a set and U is the universe,

    Is:

    A v A = A
    Yes
    A v A = U (or I think it might be A)
    Well, it's the same as just above
    Just in case, A^A=A
    A ^ null set = A
    See here : http://www.mathhelpforum.com/math-he...ns-proofs.html
    A v null set = A


    Make a diagram if you want to check by yourself !

    And finally if A is a subset of U,

    Is:

    null set v A = A
    uh ? just as before
    complement of the null set = U
    Yep

    Thanks for looking!
    'welcome ^^
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