3. Which of the following is an equivalence relation? Explain. (a) lives in the same city as (b) is descendant of

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 3E: a. Let R be the equivalence relation defined on Z in Example 2, and write out the elements of the...
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3. Which of the following is an equivalence relation? Explain.
(a) lives in the same city as
(b) is descendant of
4. given: R= {(1,2), (2, 3), (4, 5), (5, 6), (4,7)}
(a) Determine the transifive closure R+
(b) Determine the equivalence classes
Transcribed Image Text:3. Which of the following is an equivalence relation? Explain. (a) lives in the same city as (b) is descendant of 4. given: R= {(1,2), (2, 3), (4, 5), (5, 6), (4,7)} (a) Determine the transifive closure R+ (b) Determine the equivalence classes
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