Define relations R₁,..., R6 on {1, 2, 3, 4} by R₁ = {(2, 2), (2, 3), (2, 4), (3, 2), (3, 3), (3,4)}, R2= {(1, 1), (1, 2), (2, 1), (2, 2), (3, 3), (4,4)}, R3= {(2, 4), (4, 2)}. R₁ = {(1, 2), (2, 3), (3,4)}, R5 = {(1, 1), (2, 2), (3, 3), (4,4)}, R6 = {(1, 3), (1,4), (2, 3), (2, 4), (3, 1), (3,4)}, Which of the following statements are correct? Check ALL correct answers below. A. R3 is transitive B. R4 is antisymmetric C. R5 is transitive D. R₁ is reflexive E. R4 is transitive F. R5 is not reflexive G. R₂ is not transitive H. R4 is symmetric I. R3 is reflexive J. R₂ is reflexive K. R3 is symmetric L. R₁ is not symmetric M. Ro is symmetric

Define relations R₁,..., R6 on {1, 2, 3, 4} by R₁ = {(2, 2), (2, 3), (2, 4), (3, 2), (3, 3), (3,4)}, R2= {(1, 1), (1, 2), (2, 1), (2, 2), (3, 3), (4,4)}, R3= {(2, 4), (4, 2)}. R₁ = {(1, 2), (2, 3), (3,4)}, R5 = {(1, 1), (2, 2), (3, 3), (4,4)}, R6 = {(1, 3), (1,4), (2, 3), (2, 4), (3, 1), (3,4)}, Which of the following statements are correct? Check ALL correct answers below. A. R3 is transitive B. R4 is antisymmetric C. R5 is transitive D. R₁ is reflexive E. R4 is transitive F. R5 is not reflexive G. R₂ is not transitive H. R4 is symmetric I. R3 is reflexive J. R₂ is reflexive K. R3 is symmetric L. R₁ is not symmetric M. Ro is symmetric

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

Define relations R₁,..., R6 on {1, 2, 3, 4} by
R₁ = {(2, 2), (2, 3), (2, 4), (3, 2), (3, 3), (3,4)},
R₂ = {(1, 1), (1, 2), (2, 1), (2, 2), (3, 3), (4,4)},
R3= {(2, 4), (4, 2)}.
R4 = {(1, 2), (2, 3), (3,4)},
R5 = {(1, 1), (2, 2), (3, 3), (4,4)},
R6 = {(1, 3), (1,4), (2, 3), (2, 4), (3, 1), (3, 4)},
Which of the following statements are correct?
Check ALL correct answers below.
A. R3 is transitive
B. R4 is antisymmetric
C. R5 is transitive
D. R₁ is reflexive
E. R4 is transitive
F. R5 is not reflexive
G. R₂ is not transitive
H. R4 is symmetric
I. R3 is reflexive
J. R₂ is reflexive
K. R3 is symmetric
L. R₁ is not symmetric
M. R6 is symmetric

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