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Math Help - elements of a set

  1. #1
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    elements of a set

    Hi,

    what is the elements of the set below
    B = {-2k/3 e Z, k e R | |k| < 9 }

    My work is shown below
    the range of |k| is [0,9[
    the range of k is ]-9,9[
    so put [-8.999... , 8.999...] into -2k/3 and I got the integers below
    B = {-5,-4,-3,-2,-1,0,1,2,3,4,5}

    Is my answer correct?

    Thank you!
    Jason
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by jasonmark View Post
    Hi,

    what is the elements of the set below
    B = {-2k/3 e Z, k e R | |k| < 9 }

    My work is shown below
    the range of |k| is [0,9[
    the range of k is ]-9,9[
    so put [-8.999... , 8.999...] into -2k/3 and I got the integers below
    B = {-5,-4,-3,-2,-1,0,1,2,3,4,5}

    Is my answer correct?

    Thank you!
    Jason
    B is the set of integers b such that 3b/2 is in ]-9,9[ , so:

    -9 < 3b/2 <9

    -6 < b < 6

    which is what you have.

    RonL
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  3. #3
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    Smile

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