part C and Di need full explained solution a) Which of these relations are reflexive? Justify your answers.Which of these relations are symmetric? Justify your answers.c) Which of these relations are antisymmetric? Justify your answer.d) Which of these relations are transitive? Justify your answers. 12. Consider the following relations on {1, 2, 3, 4}.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)}Rs = {(1,1),(2,2), (3,3), (4,4)}

(.) Anti - symmetric relation : A relation 'R' on the set 'A' is called anti - symmetric only if…

12. Consider the following relations on {1, 2, 3, 4}. 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)}

12. Consider the following relations on {1, 2, 3, 4}. 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)}

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.3: Zeros Of Polynomials

Problem 56E

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Question

part C and D

i need full explained solution

a) Which of these relations are reflexive? Justify your answers.
Which of these relations are symmetric? Justify your answers.
c) Which of these relations are antisymmetric? Justify your answer.
d) Which of these relations are transitive? Justify your answers.

12. Consider the following relations on {1, 2, 3, 4}.
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)}
Rs = {(1,1),(2,2), (3,3), (4,4)}

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