Let R be the relation defined on Z (the set of integers) as follows: For every m, n = Z,mRnm-n is odd.Which of the following is true for R?(select the correct answer)OR is reflexiveOR is symmetricO R is transitiveOR is not reflexive, not symmetric, and not transitive

Option (a) For reflexive-aRa = a - a = 0 which is not oddSo for every a belongs to Z (a, a) dose…

Answered: Let R be the relation defined on Z (the…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.7: Relations

Problem 11E: Let be a relation defined on the set of all integers by if and only if sum of and is odd. Decide...

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Let R be the relation defined on Z (the set of integers) as follows: For every m, n = Z, mRnm-n is odd. Which of the following is true for R? (select the correct answer) OR is reflexive OR is symmetric O R is transitive OR is not reflexive, not symmetric, and not transitive