100%For each of the following relations on a set {1, 2, 3,4}, decide whether itis reflexive, whether it is symmetric, whether it is antisymmetric, andwhether it is transitive?Q1.ORI = {(2, 2), 2, 3), (2, 4), (3, 2), (3, 3), (3, 4)}O R2 = {(1, 1), (1, 2), (2, 1), (2, 2), (3, 3), (4, 4)}O R3 {(3, 4), (4, 3)}O R4 {(1, 2), (2, 3), (3, 4)}O R5 = {(1, 1), (2, 2), (3, 3), (4, 4)}O R6 = {(1, 3), (1, 4), (2, 3), (2, 4), (3, 1), (3, 4)}Answer:ReflexiveSymmetricAntisymmetric TransitiveR2R3R4R$Rhero to

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For each of the following relations on a set {1, 2,3,4}, decide whether it is reflexive, whether it is symmetric, whether it is antisymmetric, and whether it is transitive? O RI = {(2, 2), 2, 3), (2, 4), (3, 2), (3, 3), (3, 4)} O R2 = {(1, 1), (1, 2), (2, 1), (2, 2), (3, 3), (4, 4)} OR3 {(3, 4), (4, 3)} O R4 = {(1, 2), (2, 3), (3, 4)} %3D O R5 = {(1, 1), (2, 2), (3, 3), (4, 4)} O R6 = {(1, 3), (1, 4), (2, 3), (2, 4), (3, 1), (3, 4)} %D

For each of the following relations on a set {1, 2,3,4}, decide whether it is reflexive, whether it is symmetric, whether it is antisymmetric, and whether it is transitive? O RI = {(2, 2), 2, 3), (2, 4), (3, 2), (3, 3), (3, 4)} O R2 = {(1, 1), (1, 2), (2, 1), (2, 2), (3, 3), (4, 4)} OR3 {(3, 4), (4, 3)} O R4 = {(1, 2), (2, 3), (3, 4)} %3D O R5 = {(1, 1), (2, 2), (3, 3), (4, 4)} O R6 = {(1, 3), (1, 4), (2, 3), (2, 4), (3, 1), (3, 4)} %D

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

100%
For each of the following relations on a set {1, 2, 3,4}, decide whether it
is reflexive, whether it is symmetric, whether it is antisymmetric, and
whether it is transitive?
Q1.
ORI = {(2, 2), 2, 3), (2, 4), (3, 2), (3, 3), (3, 4)}
O R2 = {(1, 1), (1, 2), (2, 1), (2, 2), (3, 3), (4, 4)}
O R3 {(3, 4), (4, 3)}
O R4 {(1, 2), (2, 3), (3, 4)}
O R5 = {(1, 1), (2, 2), (3, 3), (4, 4)}
O R6 = {(1, 3), (1, 4), (2, 3), (2, 4), (3, 1), (3, 4)}
Answer:
Reflexive
Symmetric
Antisymmetric Transitive
R2
R3
R4
R$
R
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