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+}, ymmetric, whether it is antisymmetric, and whether it is transitive

+}, ymmetric, whether it is antisymmetric, and whether it is transitive

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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d) For each of these relations on the set {1,2,3,4}, decide whether it is reflexive, whether it is symmetric, whether it is antisymmetric, and whether it is transitive i) {(2,2), (2,3), (2, 4), (3, 2), (3,3), (3,4)} ii) {(1,1), (1,2), (2, 1), (2, 2), (3, 3), (4, 4)} iii) {(2,4), (4, 2)} v) {(1,2), (2,3), (3, 4)} vi) {(1,1), (2, 2), (3, 3), (4, 4)} vii){(1,3), (1,4), (2,3), (2, 4), (3, 1), (3,4)}
Transcribed Image Text:d) For each of these relations on the set {1,2,3,4}, decide whether it is reflexive, whether it is symmetric, whether it is antisymmetric, and whether it is transitive i) {(2,2), (2,3), (2, 4), (3, 2), (3,3), (3,4)} ii) {(1,1), (1,2), (2, 1), (2, 2), (3, 3), (4, 4)} iii) {(2,4), (4, 2)} v) {(1,2), (2,3), (3, 4)} vi) {(1,1), (2, 2), (3, 3), (4, 4)} vii){(1,3), (1,4), (2,3), (2, 4), (3, 1), (3,4)}
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