Let R be defined on A x A where R = {(1, 1), (1, 2), (2, 3), (3, 2), (3, 3)} State a counterexample showing that: a) R is not reflexive. b) R is not symmetric. c) R is not transitive.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.1: Postulates For The Integers (optional)
Problem 11E
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Let R be defined on A x A where R = {(1, 1), (1, 2), (2, 3), (3, 2), (3, 3)}
State a counterexample showing that:
a) R is not reflexive.
b) R is not symmetric.
c) R is not transitive.
Transcribed Image Text:Relations Let R be defined on A x A where R = {(1, 1), (1, 2), (2, 3), (3, 2), (3, 3)} State a counterexample showing that: a) R is not reflexive. b) R is not symmetric. c) R is not transitive.
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