Do as indicated. (a) Use Venn diagrams to show that (An B)' = A'U B'.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.2: Mappings
Problem 2TFE: Label each of the following statements as either true or false. 2. for all nonempty sets A and B.
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Answer letter a only.

Do as indicated.
(a) Use Venn diagrams to show that (AN B)' = A'U B'.
%3D
(b) Use membership tables to prove that (A – B) n (A – C) = A – (BUC).
(c) Use propositions to prove that if A C B and A C C, then A C (BNC).
(d) Use laws of Set Theory to prove A – (BUC) = (A – B) N (A – C).
%3D
Transcribed Image Text:Do as indicated. (a) Use Venn diagrams to show that (AN B)' = A'U B'. %3D (b) Use membership tables to prove that (A – B) n (A – C) = A – (BUC). (c) Use propositions to prove that if A C B and A C C, then A C (BNC). (d) Use laws of Set Theory to prove A – (BUC) = (A – B) N (A – C). %3D
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