# Show that if A and B are sets with the same cardinality,

## Problem 14E Chapter 2.5

Discrete Mathematics and Its Applications | 7th Edition

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Problem 14E

Show that if A and B are sets with the same cardinality, then |A| ? |B| and |A| ? |B|

Step-by-Step Solution:

SOLUTIONStep 1In this problem we have to show that if A and B are sets with the same cardinality, then |A| |B| and |B| |A|.Step 2It is said that A and B are sets of same cardinality.Any 2 finite sets with same number of elements(cardinality) can be put in an one-to-one(injective) correspondence.Therefore a function is injective.Step 3By definition of cardinality , if there is injection (one to one relation) from A to B then the cardinality of...

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##### ISBN: 9780073383095

This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7th. The answer to “Show that if A and B are sets with the same cardinality, then |A| ? |B| and |A| ? |B|” is broken down into a number of easy to follow steps, and 20 words. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. Since the solution to 14E from 2.5 chapter was answered, more than 226 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 14E 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: Cardinality, Sets, show. This expansive textbook survival guide covers 101 chapters, and 4221 solutions.

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