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    Determine the Nonnegative Integers

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    Please see the attachment for problem related to nonnegative integer and my solution (needs to be edited and confirmed).

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    https://brainmass.com/math/basic-algebra/determine-nonnegative-integers-27790

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    Please see attached file

    The answer is correct, and clear, so I only made some changes (in bold) which I think may make more sense.

    Estimated Time/Compensation: 30 min/$8

    Date Needed/Deadline: Sunday, November 7, 2004. 1:00 P.M. Pacific

    There is a solution that is already provided.

    I ask that you check the solution correctness, and clarity.

    If there is a proof, please do your best to explain the proof clearer, with words.

    If you find an error , mistake, or something could be "more elegant" than please rework the entire solution.

    PLEASE FOLLOW THE INSTRUCTIONS:

    1. No programming
    2. Show all steps
    3. Explain your solution process in words
    4. Proofs need to be explained primarily in words. If there is a lot of algebra, explain the process in words as well.
    5. ANSWER ALL PARTS OF THE QUESTION

    For every nonnegative integer n, there are unique nonnegative integers i and j such that

    and

    To see this, consider division of n by 43, and let i and j denote the quotient and the remainder, respectively:

    j is an element of Z43, and n is said to be congruent modulo 43 to j, which we could express by saying that n is EQUIVALENT to j (modulo 43). (In YOUR notation, we would say that "n = j in Z43.")

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    If ...

    Solution Summary

    The solution determines the nonnegative integers in the problem.

    $2.49

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