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Problem 2 Let A, B, and C be sets. 1. By means of an example show that AUC=BUC does not necessarily imply that A= B. 2. By means of an example show that And=BnC does not necessarily imply that A = B. 3. Show that Solution: (AnC=BnC) ^ (AUC=BUC) → (A = B)

Problem 2 Let A, B, and C be sets. 1. By means of an example show that AUC=BUC does not necessarily imply that A= B. 2. By means of an example show that And=BnC does not necessarily imply that A = B. 3. Show that Solution: (AnC=BnC) ^ (AUC=BUC) → (A = B)

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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Problem 2 Let A, B, and C be sets. 1. By means of an example show that AUC=BUC does not necessarily imply that A = B. 2. By means of an example show that Anc=BnC does not necessarily imply that A = B. 3. Show that Solution: (AnC=BnC)^(AUC=BUC) → (A= B)
Transcribed Image Text:Problem 2 Let A, B, and C be sets. 1. By means of an example show that AUC=BUC does not necessarily imply that A = B. 2. By means of an example show that Anc=BnC does not necessarily imply that A = B. 3. Show that Solution: (AnC=BnC)^(AUC=BUC) → (A= B)
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