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Show that the set Z+ × Z+ is countable.

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen ISBN: 9780073383095 37

Solution for problem 28E Chapter 2.5

Discrete Mathematics and Its Applications | 7th Edition

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

Discrete Mathematics and Its Applications | 7th Edition

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Problem 28E

Show that the set Z+ × Z+ is countable.

Step-by-Step Solution:

Solution:Step 1</p>

In this problem we need to show that the set  is countable.

Step 2</p>

To show that the countability of a set, we compare the cardinality of this set with a set whose cardinality we already know.

Two sets A and B have same cardinality if and only if there is a one-to-one correspondence from A to B.

Step 3 of 3

Chapter 2.5, Problem 28E is Solved
Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. This full solution covers the following key subjects: Countable, set, show. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7. The full step-by-step solution to problem: 28E from chapter: 2.5 was answered by , our top Math solution expert on 06/21/17, 07:45AM. Since the solution to 28E from 2.5 chapter was answered, more than 266 students have viewed the full step-by-step answer. The answer to “Show that the set Z+ × Z+ is countable.” is broken down into a number of easy to follow steps, and 9 words.

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