7. A, B, and C are subsets of a set S. Prove the following set identities using the basic set identities listed in this section. Give a reason for each step. State the dual of each of these identities. a. (A U B) N (A U B') = A b. ([(A N C ) N B] U [(A N C ) N B']) U (A N C )' = S c. (A U C ) N [(A N B) U (C' N B)] = A N B
7. A, B, and C are subsets of a set S. Prove the following set identities using the basic set identities listed in this section. Give a reason for each step. State the dual of each of these identities. a. (A U B) N (A U B') = A b. ([(A N C ) N B] U [(A N C ) N B']) U (A N C )' = S c. (A U C ) N [(A N B) U (C' N B)] = A N B
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.1: Sets And Geometry
Problem 12E: For the sets given in Exercise 9, is there a distributive relationship for intersection with respect...
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