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

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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Question

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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