How do you prove the following? I know you have to prove that each is the subset of the other but Im not getting further than that Let S be a set. For every subset A of S we denote by A the complement of A in S. Showthat for all subsets A, B, C of S the following equality holds:An (BUC) = (AUB) n(AUC).

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Answered: Let S be a set. For every subset A of S…

Let S be a set. For every subset A of S we denote by A the complement of A in S. Show that for all subsets A, B, C of S the following equality holds: An (BUC) = (AUB) n(AUC).

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.CT: Test

Problem 9CT

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How do you prove the following? I know you have to prove that each is the subset of the other but Im not getting further than that

Let S be a set. For every subset A of S we denote by A the complement of A in S. Show
that for all subsets A, B, C of S the following equality holds:
An (BUC) = (AUB) n(AUC).

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