Define a relation D on the set of real of numbers as follows: Vx, y ER, xD y ⇒x-y is rational Determine if the relation D is: D is reflexive, symmetric, and transitive OD is not transitive D is not reflexive Dis not symmetric

Define a relation D on the set of real of numbers as follows: Vx, y ER, xD y ⇒x-y is rational Determine if the relation D is: D is reflexive, symmetric, and transitive OD is not transitive D is not reflexive Dis not symmetric

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.7: Relations

Problem 17E: In each of the following parts, a relation R is defined on the power set (A) of the nonempty set A....

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Good hand writing and circle the answer please, this is a discrete math Question( 9

Define a relation D on the set of real of numbers as follows:
Vx, y ER, xD y ⇒x-y is rational
Determine if the relation D is:
D is reflexive, symmetric, and transitive
OD is not transitive
D is not reflexive
Dis not symmetric

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