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1) {(1, 2), (2, 3), (3, 4)} ) {(1, 1), (2, 2), (3, 3), (4, 4)} ) {(1, 3), (1, 4), (2, 3), (2, 4), (3, 1), (3, 4)}

1) {(1, 2), (2, 3), (3, 4)} ) {(1, 1), (2, 2), (3, 3), (4, 4)} ) {(1, 3), (1, 4), (2, 3), (2, 4), (3, 1), (3, 4)}

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 6TFE: Label each of the following statements as either true or false. Let R be a relation on a nonempty...
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d) {(1, 2), (2, 3), (3, 4)} e) {(1, 1), (2, 2), (3, 3), (4, 4)} f){(1, 3), (1, 4), (2, 3), (2, 4), (3, 1), (3, 4)}
Transcribed Image Text:d) {(1, 2), (2, 3), (3, 4)} e) {(1, 1), (2, 2), (3, 3), (4, 4)} f){(1, 3), (1, 4), (2, 3), (2, 4), (3, 1), (3, 4)}
1. For each of these relations on the set {1, 2, 3, 4}, decide whether it is reflexive, whether it is symmetric, it is antisymmetric, and whether it is transitive. Write all the properties that may apply.
Transcribed Image Text:1. For each of these relations on the set {1, 2, 3, 4}, decide whether it is reflexive, whether it is symmetric, it is antisymmetric, and whether it is transitive. Write all the properties that may apply.
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