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Consider the relation R on S = P({0, 1, 2, 3}) such that (A, B) = Rif and only if ACB. Select ALL that are true: a) R is reflexive b) R is symmetric c) R is transitive d) R is an equivalence relation e) R is a strict partial order f) R is a total order

Consider the relation R on S = P({0, 1, 2, 3}) such that (A, B) = Rif and only if ACB. Select ALL that are true: a) R is reflexive b) R is symmetric c) R is transitive d) R is an equivalence relation e) R is a strict partial order f) R is a total order

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 28E
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Consider the relation R on S = P({0, 1, 2, 3}) such that (A, B) = Rif and only if ACB. Select ALL that are true: a) R is reflexive b) R is symmetric c) R is transitive d) R is an equivalence relation e) R is a strict partial order f) R is a total order
Transcribed Image Text:Consider the relation R on S = P({0, 1, 2, 3}) such that (A, B) = Rif and only if ACB. Select ALL that are true: a) R is reflexive b) R is symmetric c) R is transitive d) R is an equivalence relation e) R is a strict partial order f) R is a total order
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