8. Draw the directed graph of the binary relation S on B = { a, b, c, d, e} by S = {(a, b),(b, c),(a, c), (d, d), (b, a), (c, b), (c, a)} Is the relation reflexive? Is the relation symmetric? Is the relation transitive? Is this an equivalence relation?

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 11E: Let be a relation defined on the set of all integers by if and only if sum of and is odd. Decide...
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8. . Draw the directed graph of the binary relation S on B = { a, b, c, d, e} by
S = {(a, b),(b, c),(a, c), (d, d), (b, a), (c, b), (c, a)}
Is the relation reflexive?
Is the relation symmetric?
Is the relation transitive?
Is this an equivalence relation?
Transcribed Image Text:8. . Draw the directed graph of the binary relation S on B = { a, b, c, d, e} by S = {(a, b),(b, c),(a, c), (d, d), (b, a), (c, b), (c, a)} Is the relation reflexive? Is the relation symmetric? Is the relation transitive? Is this an equivalence relation?
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