Determine whether the given relations are partial order or equivalence relation on A = {1, 2, 3, 4, 5}. List down all possible pairs of the given relation. 1. {(1, 1), (2, 2) , (3,3), (4, 4) , (5, 5), (1,3), (3, 1)} 2. {(1,y) | 3 divides x +y} 3. A = { 1, 2, 3 } and B = {1, 2, 3, 4, 5, 6 }, where R is defined by (a + b) | 26. . (a, b) is in R.

Determine whether the given relations are partial order or equivalence relation on A = {1, 2, 3, 4, 5}. List down all possible pairs of the given relation. 1. {(1, 1), (2, 2) , (3,3), (4, 4) , (5, 5), (1,3), (3, 1)} 2. {(1,y) | 3 divides x +y} 3. A = { 1, 2, 3 } and B = {1, 2, 3, 4, 5, 6 }, where R is defined by (a + b) | 26. . (a, b) is in R.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.7: Relations

Problem 12E: Let and be lines in a plane. Decide in each case whether or not is an equivalence relation, and...

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