Consider the relation R on the set {1, 2, 3} defined by {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1,3)}.
Consider the relation R on the set {1, 2, 3} defined by {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1,3)}.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 20E: Give an example of a relation R on a nonempty set A that is symmetric and transitive, but not...
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Transcribed Image Text:Consider the relation R on the set (1, 2, 3} defined by
Is R an equivalence relation?
OA. Yes
OB. No
{(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1,3)}.
because... (select all that apply)
A. R is reflexive, symmetric, and transitive.
B. R is not reflexive.
C. R is not symmetric.
D. R is not transitive.
E. None of the above
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