7. Let S = {1,2,3, ...,8}. Let R be the relation on S defined by the following: %3D xRy + xy is a perfect square a. Find all the coordinate pairs in the relation R. b. Draw a directed graph for R. c. If R is an equivalence relation, find all the distinct equivalence classes. If R is not an equivalence relation, state exactly which property(s) it fails and include specific examples.
7. Let S = {1,2,3, ...,8}. Let R be the relation on S defined by the following: %3D xRy + xy is a perfect square a. Find all the coordinate pairs in the relation R. b. Draw a directed graph for R. c. If R is an equivalence relation, find all the distinct equivalence classes. If R is not an equivalence relation, state exactly which property(s) it fails and include specific examples.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 28E
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