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Thread: Can anyone help with this question ASAP?

  1. #1
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    Can anyone help with this question ASAP?

    the question goes like this :

    Write down all the numbers in this set.

    A={xZ | all nZ+ fall into x/n Z}


    I hope Im translating it correctly


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  2. #2
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    Re: Can anyone help with this question ASAP?

    If set A is defined as all integers x such that for all positive integers, x/n is an integer, then A is contains only one element, 0.
    Why?
    0/n = 0 for all n.
    For non-zero integers, I can always find an n such that x/n isn't an integer. Let n = |x|+1. For positive x, x/n = x/x+1 = 1/(1+1/x)
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  3. #3
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    Re: Can anyone help with this question ASAP?

    Quote Originally Posted by MacstersUndead View Post
    Let n = |x|+1. For positive x, x/n = x/x+1 = 1/(1+1/x)

    You're missing grouping symbols.

    For positive x, x/n = x/(x + 1).
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