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Math Help - Rationality proofs

  1. #1
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    Rationality proofs

    Prove or disprove

    For every two rational numebers a and b with a<b, there exists a rational number r such that a<r<b.

    Please help if you can
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  2. #2
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    The average of two numbers is always between them.
    a < b\, \Rightarrow \,a < \frac{{a + b}}<br />
{2} < b.
    So we are done. WHY?
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