Determine the following relation on the set {a, b, c, d}, is reflexive, irreflexive, symmetric, anti-symmetric, and transitive. a) {(a, a), (a, b), (b, a), (b, b), (c, c), (c, d), (d, c), (d, d)} b) {(a, a), (b, b), (c, c), (d, d)} c) {(а, а), (ь, b), (с, с)} d)

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 6TFE: Label each of the following statements as either true or false. Let R be a relation on a nonempty...
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Plz can you help me in this with a bit explanation

Determine the following relation on the set {a, b, c, d} , is reflexive, irreflexive, symmetric,
anti-symmetric, and transitive.
a)
1.
{(а, а), (а, b), (b, а), (b, b), (с, с), (с, d), (а, с), (d, d)}
b)
{(а, а), (Ь, b), (с, с), (а, d)}
c)
((а, а), (b, b), (с, с)}
d)
Transcribed Image Text:Determine the following relation on the set {a, b, c, d} , is reflexive, irreflexive, symmetric, anti-symmetric, and transitive. a) 1. {(а, а), (а, b), (b, а), (b, b), (с, с), (с, d), (а, с), (d, d)} b) {(а, а), (Ь, b), (с, с), (а, d)} c) ((а, а), (b, b), (с, с)} d)
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