Let R be a relation on a set A = {1,2,3,4} defined by the following. a. is irreflexive, and symmetric, but not reflexive, antisymmetric, asymmetric, and transitive. b. is irreflexive, antisymmetric and transitive but neither reflexive nor symmetric.

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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Let R be a relation on a set A =
{1,2,3,4} defined by the following.
is irreflexive, and symmetric, but not reflexive, antisymmetric, asymmetric,
and transitive.
b.
is irreflexive, antisymmetric and transitive but neither reflexive nor
symmetric.
a.
Transcribed Image Text:Let R be a relation on a set A = {1,2,3,4} defined by the following. is irreflexive, and symmetric, but not reflexive, antisymmetric, asymmetric, and transitive. b. is irreflexive, antisymmetric and transitive but neither reflexive nor symmetric. a.
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