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The symmetric difference of A And B, denoted by A B, is
Chapter 1, Problem 41E(choose chapter or problem)
The symmetric difference of A And B, denoted by A ? B, is the set containing those elements in either A or B, but not in both A And B.Suppose that A, B and C Are sets such that A ? C = B ? C. Must it be the case that A = B?
Questions & Answers
QUESTION:
The symmetric difference of A And B, denoted by A ? B, is the set containing those elements in either A or B, but not in both A And B.Suppose that A, B and C Are sets such that A ? C = B ? C. Must it be the case that A = B?
ANSWER:Answer:Step-1: In this problem we need to show that A = B , by using where A , B and C are sets. NOTE: 1) A set A is a subset of a set B , or equivalently B is a superset of A , if A is contained inside B, that is all elements of A are also elements of B. A and B may coincide.That is 2)SYMMETRIC DIFFERENCE: The symmetric difference of two sets A and B