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Let A= {1,2,3,4,5} and define a binary relation Ramong the subsets of A as follows: XRY XCY. a) Is R reflexive? Explain. b) Is R symmetric? Explain. c) Is R transitive? Explain.

Let A= {1,2,3,4,5} and define a binary relation Ramong the subsets of A as follows: XRY XCY. a) Is R reflexive? Explain. b) Is R symmetric? Explain. c) Is R transitive? Explain.

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 20E: Give an example of a relation R on a nonempty set A that is symmetric and transitive, but not...
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Let A= {1,2,3,4,5} and define a binary relation R among the subsets of A as follows: XRY XCY. a) Is R reflexive? Explain. b) Is R symmetric? Explain. c) Is R transitive? Explain.
Transcribed Image Text:Let A= {1,2,3,4,5} and define a binary relation R among the subsets of A as follows: XRY XCY. a) Is R reflexive? Explain. b) Is R symmetric? Explain. c) Is R transitive? Explain.
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