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Math Help - Question relating to sets

  1. #1
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    Question Question relating to sets

    Given that U={x : x is an integer, 2< x < equels to 18)
    A = {x : 5 < equals to x < 17}
    and P = A's power c, list the elements of the following :

    1) A
    2) P's power c
    3) {Number divisible by 4}

    thanks.
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by Kaleem Qureshi View Post
    Given that U={x : x is an integer, 2< x < equels to 18)
    A = {x : 5 < equals to x < 17}
    and P = A's power c, list the elements of the following :

    1) A
    2) P's power c
    3) {Number divisible by 4}

    thanks.
    1) For this one what are the possible values of x?
    2) A question: what does "A's power c" mean? This is not clear.
    3) Which values of x are divisible by 4?

    And what does any of this have to do with the set U?

    -Dan
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  3. #3
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    Although you post is almost unreadable does it mean;
    U = \left\{ {3,4,5, \cdots ,17,18} \right\},\;A = \left\{ {5,6,7, \cdots 16} \right\},\;P = A^c?

    That is, the universe is the set of integers from 3 to 18; A is the subset from 3 to 16; and P is the complement of A.
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  4. #4
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    Hi guyes,

    Yes Plato, you are right here:

    Set U = {3,4,5,6,7,8,9,.....18}
    Set A = {5,6,7,8,9,..........16}
    Set P = P's power c

    But problems now is that, what would be the elements of Set P's power c

    and if i am not wrong i should take for question-3, ={Number divisible by 4}
    from universal set or not ?
    So, if I am right then answer to question-3 would be {4,8,12,16}

    Thanks for your guidance and support.
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  5. #5
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by Plato View Post
    That is, the universe is the set of integers from 3 to 18; A is the subset from 3 to 16; and P is the complement of A.
    I have a question: How does one know what the "universe of discourse" is unless it is stated? For example, how do we know that the compliment of A is not R\A?

    -Dan
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  6. #6
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    hello,

    yes, that is the problem i am also facing, i this question there is no value given for 'c'. What we know here, is that P= Set A, but what about the power of A means 'c', what to do about it.

    This needs your consideration, I am stuck.
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  7. #7
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    Quote Originally Posted by topsquark View Post
    I have a question: How does one know what the "universe of discourse" is unless it is stated?
    It is purely a matter of convention in elementary set theory texts.
    The letter U is used for the universe.

    Quote Originally Posted by Kaleem Qureshi View Post
    this question there is no value given for 'c'. What we know here, is that P= Set A, but what about the power of A means 'c', what to do about it.
    P = A^c  = \left\{ {3,4,17,18} \right\}
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  8. #8
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    But we have to find the compliment of P which should be values in universal table not present in compliment of A. Am I right?

    can u pleae help me how to write the math funcitons in forum?
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  9. #9
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    You are given that P = A^c.
    So P^c  = \left( {A^c } \right)^c  = A
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