3. Consider three finite sets A, B and C. Show that: (a) (b) (c) (AB) x C = (A ×C) \ (B × C ); (AUB) (C \ A ) = A U (B \ C ); (A \B) U (B \A ) = (A UB ) \ (A MB);
3. Consider three finite sets A, B and C. Show that: (a) (b) (c) (AB) x C = (A ×C) \ (B × C ); (AUB) (C \ A ) = A U (B \ C ); (A \B) U (B \A ) = (A UB ) \ (A MB);
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 29E
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![3.
Consider three finite sets A, B and C. Show that:
(a) (A UB) (C\A) = A U (B \ C);
(b) (A\B) U (B \A) = (A UB) \ (A MB);
(c) (A\B) x C = (A ×C) \ (B × C );](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1af4e1c2-19e3-416e-9196-9d66333ec6ab%2Ff1e06700-5663-4ded-b0e4-8bcc808206e8%2Fdduv1k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3.
Consider three finite sets A, B and C. Show that:
(a) (A UB) (C\A) = A U (B \ C);
(b) (A\B) U (B \A) = (A UB) \ (A MB);
(c) (A\B) x C = (A ×C) \ (B × C );
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