Please write all steps Check the following relation R on the setA = {1,2, 3, 4} is reflexive, symmetric andor transitive of not. Also write the conclusionwhether it can be an equivalence relation or not,where the relation R is defined as(a, b) e R if and anly if a + b < 2, Va, b e AAnswer:

Not reflexive. Symmetric. Transitive. Not Equivalence relation.

Check the following relation R on the set A = {1,2, 3, 4} is reflexive, symmetric and or transitive of not. Also write the conclusion %3D whether it can be an equivalence relation or not, where the relation R is defined as (a, b) e R if and anly if a + b < 2, Va, b e A

Check the following relation R on the set A = {1,2, 3, 4} is reflexive, symmetric and or transitive of not. Also write the conclusion %3D whether it can be an equivalence relation or not, where the relation R is defined as (a, b) e R if and anly if a + b < 2, Va, b e A

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.7: Relations

Problem 28E

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‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.

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Please write all steps

Check the following relation R on the set
A = {1,2, 3, 4} is reflexive, symmetric and
or transitive of not. Also write the conclusion
whether it can be an equivalence relation or not,
where the relation R is defined as
(a, b) e R if and anly if a + b < 2, Va, b e A
Answer:

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