Let A = {1, 2, 3, 4, 6}. Let Ri be a relation defined on A. a. Verify reflexive property on the relation R1= {(1, 1), (1, 2), (2, 2), (3, 3), (3, 4), (4, 4), (6, 6)}. b. Verify symmetric property on the relation R2 = {(1, 1), (1, 2), (2, 1), (2, 2), (3, 4), (4, 3), (4, 4)}. c. Verify asymmetric property on the relation R3 = {(1, 2), (2, 4), (3, 4), (4, 6), (6, 6)}. d. Verify antisymmetric property on the relation R4 = {(1, 1), (1, 2), (2, 3), (3, 3), (3, 4), (6, 3)} e. Verify transitive property on the relation R5 = {(1, 2), (1, 3), (1, 6), (2, 3), (3, 4), (4, 6), (3, 6)}.
Let A = {1, 2, 3, 4, 6}. Let Ri be a relation defined on A. a. Verify reflexive property on the relation R1= {(1, 1), (1, 2), (2, 2), (3, 3), (3, 4), (4, 4), (6, 6)}. b. Verify symmetric property on the relation R2 = {(1, 1), (1, 2), (2, 1), (2, 2), (3, 4), (4, 3), (4, 4)}. c. Verify asymmetric property on the relation R3 = {(1, 2), (2, 4), (3, 4), (4, 6), (6, 6)}. d. Verify antisymmetric property on the relation R4 = {(1, 1), (1, 2), (2, 3), (3, 3), (3, 4), (6, 3)} e. Verify transitive property on the relation R5 = {(1, 2), (1, 3), (1, 6), (2, 3), (3, 4), (4, 6), (3, 6)}.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.4: Relationships: Perpendicular Lines
Problem 17E: Does the relation is a brother of have a reflexive property consider one male? A symmetric property...
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Let A = {1, 2, 3, 4, 6}. Let Ri be a relation defined on A.
a. Verify reflexive property on the relation R1= {(1, 1), (1, 2), (2, 2), (3, 3), (3, 4), (4, 4), (6, 6)}.
b. Verify symmetric property on the relation R2 = {(1, 1), (1, 2), (2, 1), (2, 2), (3, 4), (4, 3), (4, 4)}.
c. Verify asymmetric property on the relation R3 = {(1, 2), (2, 4), (3, 4), (4, 6), (6, 6)}.
d. Verify antisymmetric property on the relation R4 = {(1, 1), (1, 2), (2, 3), (3, 3), (3, 4), (6, 3)}
e. Verify transitive property on the relation R5 = {(1, 2), (1, 3), (1, 6), (2, 3), (3, 4), (4, 6), (3, 6)}.
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