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Consider the relation S on N defined by uSy⟺5|(y+u). Is it reflexive?

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.2: Mappings

Problem 6E: 6. For the given subsets and of Z, let and determine whether is onto and whether it is...

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Question

Consider the relation S on N defined by uSy⟺5|(y+u).

Is it reflexive?

Expert Solution

Step 1

No it is not a reflexive relation

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