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(a) Let A = {a, e, f, y, q, w} and B = {e, x, z, q,p, f}. Find AAB. (b) Draw Venn Diagram of (AUB) – (AnB) and (A-B)U(B-A). Conclude that AAB = (AUB) - (ANB) and AAB=(A - B)U (BA). (c) Using set identities and part (b) show that AAB = (ANB) n(AUB).

(a) Let A = {a, e, f, y, q, w} and B = {e, x, z, q,p, f}. Find AAB. (b) Draw Venn Diagram of (AUB) – (AnB) and (A-B)U(B-A). Conclude that AAB = (AUB) - (ANB) and AAB=(A - B)U (BA). (c) Using set identities and part (b) show that AAB = (ANB) n(AUB).

Advanced Engineering Mathematics
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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The symmetric difference of set A and B, denoted by A∆B, is the set containing elements in either
A or B, but not in both A and B. Answer the followings:

(a) Let A = {a, e, f, y, q, w} and B = {e, z, z, q,p, f}. Find AAB. (b) Draw Venn Diagram of (AUB) – (AnB) and (A-B)U(B-A). Conclude that AAB = (AUB)- (ANB) and AAB=(A - B)U(B-A). (c) Using set identities and part (b) show that AAB = (ANB)n (AUB).
Transcribed Image Text:(a) Let A = {a, e, f, y, q, w} and B = {e, z, z, q,p, f}. Find AAB. (b) Draw Venn Diagram of (AUB) – (AnB) and (A-B)U(B-A). Conclude that AAB = (AUB)- (ANB) and AAB=(A - B)U(B-A). (c) Using set identities and part (b) show that AAB = (ANB)n (AUB).
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