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Show that the union of a countable number of countable

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

Solution for problem 27E 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 27E

Show that the union of a countable number of countable sets is countable.

Step-by-Step Solution:

SolutionIn this question we have to prove that the union of a countable number of countable sets is countable.Step 1Let us assume that B and C are two countable sets.Then, BC is also finite and therefore countable.

Step 2 of 4

Chapter 2.5, Problem 27E is Solved
Step 3 of 4

Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

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Show that the union of a countable number of countable