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. R2 is not transitive B. R5 is not reflexive OC. R4 is antisymmetric D. R₁ is reflexive E. R6 is symmetric F. R4 is transitive G. R5 is transitive OH. R₁ is not symmetric OI. R3 is symmetric J. R3 is transitive K. R₂ is reflexive L. R3 is reflexive M. R4 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)}, 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. R2 is not transitive B. R5 is not reflexive OC. R4 is antisymmetric D. R₁ is reflexive E. R6 is symmetric F. R4 is transitive G. R5 is transitive OH. R₁ is not symmetric OI. R3 is symmetric J. R3 is transitive K. R₂ is reflexive L. R3 is reflexive M. R4 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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
Transcribed Image Text: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. R2 is not transitive
B. R5 is not reflexive
OC. R4 is antisymmetric
D. R₁ is reflexive
E. R6 is symmetric
F. R4 is transitive
G. R5 is transitive
OH. R₁ is not symmetric
OI. R3 is symmetric
J. R3 is transitive
K. R₂ is reflexive
L. R3 is reflexive
M. R4 is symmetric
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