Answered: Problem 3: Prove that between every two…

Problem 3: Prove that between every two rational numbers a/b and c/d a) There is a rational number. b) There are an infinite number of rational numbers.

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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Please explain all the steps and reasonings. For part 3b please show the proof by both induction and contradiction. Please elaborate and explain all the steps as I'm finding this really confusing. Thank you so much for your help!

Problem 3: Prove that between every two rational numbers a/b and c/d
a) There is a rational number.
b) There are an infinite number of rational numbers.

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