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Math Help - Set Bulder Notaion? CONF

  1. #1
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    Set Bulder Notaion? CONF

    Hello,

    I am confused what is the difference between the following statements.

    (a)
    {x | x > 0 And x < 10}
    = {1,2,3,4,5,6,7,8,9}

    (b)
    {x | x > 0 OR x < 10}
    ??

    It would be helpful if someone could please post tabular form for (b)

    Thanks!
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  2. #2
    MHF Contributor Drexel28's Avatar
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    Berkeley, California
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    Quote Originally Posted by mrsenim View Post
    Hello,

    I am confused what is the difference between the following statements.

    (a)
    {x | x > 0 And x < 10}
    = {1,2,3,4,5,6,7,8,9}

    (b)
    {x | x > 0 OR x < 10}
    ??

    It would be helpful if someone could please post tabular form for (b)

    Thanks!
    Well, there is a huge difference. Let's assume the ambient set is \mathbb{Z} then -1\notin A,-1\in B
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  3. #3
    MHF Contributor

    Joined
    Apr 2005
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    Quote Originally Posted by mrsenim View Post
    Hello,

    I am confused what is the difference between the following statements.

    (a)
    {x | x > 0 And x < 10}
    = {1,2,3,4,5,6,7,8,9}

    (b)
    {x | x > 0 OR x < 10}
    ??

    It would be helpful if someone could please post tabular form for (b)

    Thanks!
    Every number is either less than 10 or greater than 0!
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