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);
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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