1. Consider the following relations and determine whether or not they are reflexive, symmetric, and transitive. (a) R= {(1,1), (3, 3), (5, 5)} on A = {1,3, 5} (b) R= {(1,1), (2, 2), (1, 2)} on A = {1,2} (c) R= {(1,2), (2, 1), (1, 1)} on A = {1,2} (d) R= {(1,3), (2,3), (3, 2), (3, 1)} on A = {1,2, 3} (e) R= {(1,1), (2, 2), (3, 3), (4, 4), (1, 3), (2,4)} on A = (f) R= {(3,4)} on A = (g) R= {(3,3)} on A = {3, 4} {1,2, 3, 4} {3, 4}

1. Consider the following relations and determine whether or not they are reflexive, symmetric, and transitive. (a) R= {(1,1), (3, 3), (5, 5)} on A = {1,3, 5} (b) R= {(1,1), (2, 2), (1, 2)} on A = {1,2} (c) R= {(1,2), (2, 1), (1, 1)} on A = {1,2} (d) R= {(1,3), (2,3), (3, 2), (3, 1)} on A = {1,2, 3} (e) R= {(1,1), (2, 2), (3, 3), (4, 4), (1, 3), (2,4)} on A = (f) R= {(3,4)} on A = (g) R= {(3,3)} on A = {3, 4} {1,2, 3, 4} {3, 4}

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. ...

See similar textbooks