Determine the following relation on the set {a, b, c, d}, is reflexive, irreflexive, symmetric, anti-symmetric, and transitive. a) 1. {(a, a), (a, b), (b, a), (b, b), (c, c), (c, d), (d, c), (d, d)} b) {(а, а), (ь, b), (с, с), (а, d)} c) {(a, a), (b, b), (c, c)} d) 2. Explain the relations in Question 1 whether a partial ordered relation.

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...
icon
Related questions
Question

Plz I need help in this question.

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), (d, c), (d, a)}
b)
{(а, а), (Ь, b), (с, с), (а, d)}
((а, а), (b, b), (с, с)}
c)
d)
2.
Explain the relations in Question 1 whether a partial ordered relation.
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), (d, c), (d, a)} b) {(а, а), (Ь, b), (с, с), (а, d)} ((а, а), (b, b), (с, с)} c) d) 2. Explain the relations in Question 1 whether a partial ordered relation.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer