Problem 1.. Either provide complete proof of each listed below statement or show that the statement is not true (by counterexample). (a) If R and S are two symmetric relations on a set A then their R NS and RUS are symmetric relations on A. Solution. (b) If R and S are two transitive relations on a set A then their RU S is transitive relation on A. What about RNS ?.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 14E: In each of the following parts, a relation is defined on the set of all human beings. Determine...
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please solve this abstract algebra question for me 

Problem 1.. Either provide complete proof of each listed below statement or show that the
statement is not true (by counterexample).
(a) If R and S are two symmetric relations on a set A then their R NS and RUS are
symmetric relations on A.
Solution.
(b) If R and S are two transitive relations on a set A then their RU S is transitive relation
on A. What about RNS ?.
Transcribed Image Text:Problem 1.. Either provide complete proof of each listed below statement or show that the statement is not true (by counterexample). (a) If R and S are two symmetric relations on a set A then their R NS and RUS are symmetric relations on A. Solution. (b) If R and S are two transitive relations on a set A then their RU S is transitive relation on A. What about RNS ?.
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