Let us consider the following relation R on the set of all pairs of integers: (a,b)R(c,d) if a = c or b = d. Is this relation (a) reflexive (b) symmetric (c) antisymmetric (d) transitive? Is this an equivalence relation

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.3: Divisibility
Problem 18E: Let R be the relation defined on the set of integers by aRb if and only if ab. Prove or disprove...
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Let us consider the following relation R on the set of all
pairs of integers: (a,b)R(c,d) if a = c or b = d. Is this
relation (a) reflexive (b) symmetric (c) antisymmetric (d)
transitive? Is this an equivalence relation
Transcribed Image Text:Let us consider the following relation R on the set of all pairs of integers: (a,b)R(c,d) if a = c or b = d. Is this relation (a) reflexive (b) symmetric (c) antisymmetric (d) transitive? Is this an equivalence relation
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