Prove or disprove the following statements Suppose R, S are equivalence relations on set A. Prove or disprove that(a): RnS is also an equivalence relation on A.(b): RUS is also an equivalence relation on A.

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Answered: Suppose R, S are equivalence relations…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.7: Relations

Problem 27E: Prove Theorem 1.40: If is an equivalence relation on the nonempty set , then the distinct...

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Suppose R, S are equivalence relations on set A. Prove or disprove that (a): RnS is also an equivalence relation on A. (b): RUS is also an equivalence relation on A.