17. Show that the set Q of all rational numbers is dense alongthe number line by showing that given any two rationalnumbers r, and r2 with r < r2, there exists a rational num-ber x such that r¡ < x < r2.

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Answered: 17. Show that the set Q of all rational…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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#1 Thanks.
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17. Show that the set Q of all rational numbers is dense along the number line by showing that given any two rational numbers r, and r2 with r < r2, there exists a rational num- ber x such that r¡ < x < r2.