Explore BrainMass
Share

Explore BrainMass

    Proof about Ordering the Real Numbers

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Given any two real numbers x < y, we can find a rational number q such that
    x < q< y.

    Hint: you can prove this by using the following statement: for any positive real number x > 0 there exists a positive integer N such that x > 1/N > 0

    © BrainMass Inc. brainmass.com October 10, 2019, 4:33 am ad1c9bdddf
    https://brainmass.com/math/discrete-math/providing-proof-ordering-real-numbers-466956

    Solution Preview

    Dear Student,

    ** Please see the attachment for the complete solution response **

    Given any two real numbers x < y, we can find a rational number q such that x < q< y.
    Hint: you can prove this by using the following statement: for any positive real number x > 0 there exists a positive integer N such that x > 1/N > ...

    Solution Summary

    This solution explains how to provide proof about the ordering of the given real numbers.

    $2.19