Show that if A is an infinite set, then it contains a

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

ISBN: 9780073383095 37

Solution for problem 23E Chapter 2.5

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition

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Problem 23E

Show that if A is an infinite set, then it contains a countably infinite subset.

Step-by-Step Solution:

SolutionStep 1In this problem, we have to prove that if A is infinite sets then it contains a countable infinite subset.Let us assume that A is infinite sets of countable sets. Let the element of the set A be a1, a2, a3, ……….an. Now consider that a1 A then a1 is not an empty set or null sets.Another case consider that {a1, a2} A then a1 and a2 is not an empty sets.

Step 2 of 3

Chapter 2.5, Problem 23E is Solved

Step 3 of 3

Textbook: Discrete Mathematics and Its Applications

Edition: 7

Author: Kenneth Rosen

ISBN: 9780073383095

The full step-by-step solution to problem: 23E from chapter: 2.5 was answered by , our top Math solution expert on 06/21/17, 07:45AM. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7. This full solution covers the following key subjects: infinite, set, contains, countably, show. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. The answer to “Show that if A is an infinite set, then it contains a countably infinite subset.” is broken down into a number of easy to follow steps, and 15 words. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. Since the solution to 23E from 2.5 chapter was answered, more than 300 students have viewed the full step-by-step answer.