Given R = { (x,y) ϵ R | 0 divides x (y+1) with zero remainder, x,y ϵ A } on A = {1, 2, 3, 4, 5}, which of the following statement is true? * A. The relation R is both reflexive and symmetric. B. The relation R is reflexive but not symmetric. C. The relation R is symmetric but not reflexive. D. The relation R is neither reflexive nor symmetric.

Given R = { (x,y) ϵ R | 0 divides x (y+1) with zero remainder, x,y ϵ A } on A = {1, 2, 3, 4, 5}, which of the following statement is true? * A. The relation R is both reflexive and symmetric. B. The relation R is reflexive but not symmetric. C. The relation R is symmetric but not reflexive. D. The relation R is neither reflexive nor symmetric.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.7: Relations

Problem 24E: For any relation on the nonempty set, the inverse of is the relation defined by if and only if ....

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