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Math Help - Constructive Proof Homework

  1. #1
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    Constructive Proof Homework

    I need help proving the following:

    If p and q are rational numbers with p<q, then there exists a rational number x such with p<x<q.

    Thanks in advanced. It is a constructive proof.
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  2. #2
    MHF Contributor kalagota's Avatar
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    Quote Originally Posted by eg37se View Post
    I need help proving the following:

    If p and q are rational numbers with p<q, then there exists a rational number x such with p<x<q.

    Thanks in advanced. It is a constructive proof.
    hint: the average of two rational numbers is also a rational number..
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    I love you.
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