Define relations R₁, ..., R₁ 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. R5 is not reflexive OB. R4 is antisymmetric c. R6 is symmetric D. R₂ is not transitive E. R₂ is reflexive F. R4 is symmetric G. R3 is reflexive H. R5 is transitive OI. R₁ is not symmetric J. R₁ is reflexive K. R4 is transitive OL. R3 is symmetric M. R3 is transitive
Define relations R₁, ..., R₁ 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. R5 is not reflexive OB. R4 is antisymmetric c. R6 is symmetric D. R₂ is not transitive E. R₂ is reflexive F. R4 is symmetric G. R3 is reflexive H. R5 is transitive OI. R₁ is not symmetric J. R₁ is reflexive K. R4 is transitive OL. R3 is symmetric M. R3 is transitive
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![Define relations R₁, ..., R₁ 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. R5 is not reflexive
OB. R4 is antisymmetric
c. R6 is symmetric
D. R₂ is not transitive
E. R₂ is reflexive
F. R4 is symmetric
G. R3 is reflexive
H. R5 is transitive
OI. R₁ is not symmetric
J. R₁ is reflexive
K. R4 is transitive
OL. R3 is symmetric
M. R3 is transitive](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F11ea55e2-653b-4bbb-96fa-9488c5abb4c6%2F6535a77f-b955-4a10-8d8d-0c0a93ecea8d%2Fw8ty2o_processed.png&w=3840&q=75)
Transcribed Image Text:Define relations R₁, ..., R₁ 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. R5 is not reflexive
OB. R4 is antisymmetric
c. R6 is symmetric
D. R₂ is not transitive
E. R₂ is reflexive
F. R4 is symmetric
G. R3 is reflexive
H. R5 is transitive
OI. R₁ is not symmetric
J. R₁ is reflexive
K. R4 is transitive
OL. R3 is symmetric
M. R3 is transitive
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