Let A = {1,2,3} and let R= {(1,1), (2, 2), (3, 3), (1, 2), (2, 1), (3, 2)} C A x A. In each case, decide if the given statement is true or false. If the statement is false, explain why. (a) R is reflexive. (b) R is symmetric. (c) R is transitive.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 35E
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Let A = {1,2,3} and let R= {(1,1), (2, 2), (3, 3), (1, 2), (2, 1), (3, 2)} C A x A.
In each case, decide if the given statement is true or false. If the statement is
false, explain why.
(a) R is reflexive.
(b) R is symmetric.
(c) R is transitive.
Transcribed Image Text:Let A = {1,2,3} and let R= {(1,1), (2, 2), (3, 3), (1, 2), (2, 1), (3, 2)} C A x A. In each case, decide if the given statement is true or false. If the statement is false, explain why. (a) R is reflexive. (b) R is symmetric. (c) R is transitive.
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