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Math Help - questions on sets

  1. #1
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    questions on sets

    can some one please help me with the following question:

    questions on sets-untitled.jpg

    thanks

    1234567
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  2. #2
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    For the first consider: A = \left\{ {1,2,4,6} \right\}\;\& \,B = \left\{ {1,2,3,5} \right\}.
    Now you answer your own question.

    For the second one, what A^2 mean?
    I have never seen it defined in a 'set' context.
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  3. #3
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    thanks got the help,

    A^2 and B^2 means the following

    let A={1,2} and B={3,4}

    then A^2={{1,1},{1,2},{2,1},{2,2}}

    B^2={{3,3},{3,4},{4,3},{4,4}}
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  4. #4
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    Quote Originally Posted by 1234567 View Post
    A^2 and B^2 means the following
    let A={1,2} and B={3,4} then A^2={{1,1},{1,2},{2,1},{2,2}}
    B^2={{3,3},{3,4},{4,3},{4,4}}
    It appears that you mean the cross product. But the notation is incorrect.
    A\times A=\{(1,1),(1,2),(2,1),(2,2)\}.
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  5. #5
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    You might also want to think about the situation in which A\cap B= \phi.
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  6. #6
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    thanks for the help.
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