Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 2 - Set Theory - 2.4 Set Operations and Venn Diagrams with Three Sets - Exercise Set 2.4: 57

Answer

Sets (AUB)' and A'∩B are equal. As the regions of both the sets are same.

Work Step by Step

Set A' represents all the regions belongs to universal set U that does not belongs to A So, The regions III & IV represents the set A'. Set B' represents all the regions belongs to universal set U that does not belongs to B So, The regions I and IV represents the set B'. a) Set A'∩B represents the common regions of set A' and B And (A'∩B)' represents the all the regions belongs to universal set U that does not belongs to (A'∩B) So, The region I, II, IV represents the set (A'∩B)'. b) Set AUB' represents all the regions of set A and set B'. So, The regions I, II, IV represents the set AUB'. Based on parts a and b, sets (AUB)' and A'∩B are equal. As the regions of both the sets are same.
Small 1477065675
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.