Number 2 only B. Consider the following relation on {1, 2, 3, 4, 5}R1 = {(1,1), (1,2)(2,1)(2, 2), (3,4), (4,3), (4,4, ), (5,5)}R2 = {(1,1), (1,2), (3,1) 4,3)}R3 = {(1,1), (1,2), 1,3)(2, 2), (3,1), (2,3), (4,3)}R4 = {(1,1), (2,2), 3,3)(2, 1), (2,3), (3,1), (4,5), (5,4)}R5 = {(1,1), (1,2), (1,3)(2,2), (3,1), (2,3), (4,3), (4,5)}%3D%3DQuestion: Which are transitive? Why?

Here for second R2 = {(1,1) , (1,2) , (3,1) , (4,3)} For transitive the condition must satisfy…

B. Consider the following relation on {1,2, 3,4,5} R1 = {(1,1), (1,2)(2,1)(2, 2), (3,4), (4,3), (4,4, ), (5,5)} {(1,1), (1,2), (3,1) 4,3)} R3 = {(1,1), (1,2), 1,3)(2, 2), (3,1), (2,3), (4,3)} R4 = {(1,1), (2,2), 3,3)(2, 1), (2,3), (3,1), (4,5), (5,4)} R5 = {(1,1), (1,2), (1,3)(2, 2), (3,1), (2,3), (4,3), (4,5)} %3D R2 = Question: Which are transitive? Why?

B. Consider the following relation on {1,2, 3,4,5} R1 = {(1,1), (1,2)(2,1)(2, 2), (3,4), (4,3), (4,4, ), (5,5)} {(1,1), (1,2), (3,1) 4,3)} R3 = {(1,1), (1,2), 1,3)(2, 2), (3,1), (2,3), (4,3)} R4 = {(1,1), (2,2), 3,3)(2, 1), (2,3), (3,1), (4,5), (5,4)} R5 = {(1,1), (1,2), (1,3)(2, 2), (3,1), (2,3), (4,3), (4,5)} %3D R2 = Question: Which are transitive? Why?

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.7: Relations

Problem 1E: For determine which of the following relations onare mappings from to, and justify your answer. ...

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