# Use Exercise 25 to provide a proof different from that in

## Problem 26E Chapter 2.5

Discrete Mathematics and Its Applications | 7th Edition

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Problem 26E

Use Exercise 25 to provide a proof different from that in the text that the set of rational numbers is countable. [Hint: Show that you can express a rational number as a string of digits with a slash and possibly a minus sign.]

Step-by-Step Solution:

SolutionIn this question we have to prove that set of rational numbers is countable.Step 1 Proof : Let Q be the set of rational numbers So, Q containing every rational number.At first by arranging the positive rational numbers we construct the doubly infinite array. …… ….... ….... …….Now by arranging these numbers starting from the top left hand corner,...

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##### ISBN: 9780073383095

The answer to “Use Exercise 25 to provide a proof different from that in the text that the set of rational numbers is countable. [Hint: Show that you can express a rational number as a string of digits with a slash and possibly a minus sign.]” is broken down into a number of easy to follow steps, and 43 words. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7th. Since the solution to 26E from 2.5 chapter was answered, more than 252 students have viewed the full step-by-step answer. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. The full step-by-step solution to problem: 26E from chapter: 2.5 was answered by , our top Math solution expert on 06/21/17, 07:45AM. This full solution covers the following key subjects: rational, provide, exercise, express, hint. This expansive textbook survival guide covers 101 chapters, and 4221 solutions.

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