Show that if A and B are finite sets, then |A ? B| ? | A ? B|. Determine when this relationship is an equality.
Solution:Step 1:The objective of this question is to proof that, Show that if A and B are finite sets, then |A B| | A B|.Step 2:Given that: A and B are the two finite sets.Step 3:Definition of Union: The set of all the elements A and B comes in a single set without any duplicity, it is denoted by That is, A , A is a subset of That is, B , B is a subset of Definition of Intersection: Common elements between the set A and B, but without any duplicity and it is denoted by That is, A ABis a subset of AThat is, A AB is a subset of B.Finite Set : Finite set contains the fix numbers of elements.
Textbook: Discrete Mathematics and Its Applications
Author: Kenneth Rosen
This full solution covers the following key subjects: determine, equality, Finite, Relationship, Sets. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. Since the solution to 10E from 2.SE chapter was answered, more than 261 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. The full step-by-step solution to problem: 10E from chapter: 2.SE was answered by , our top Math solution expert on 06/21/17, 07:45AM. The answer to “Show that if A and B are finite sets, then |A ? B| ? | A ? B|. Determine when this relationship is an equality.” is broken down into a number of easy to follow steps, and 25 words.