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Consider the four following relations on A = {1, 2, 3}: R1 = {(1, 1),(1, 3),(2, 2),(3, 1)} , R2 = {(1, 1),(2, 2),(3, 1),(3,
Consider the four following relations on A = {1, 2, 3}:
R1 = {(1, 1),(1, 3),(2, 2),(3, 1)} ,
R2 = {(1, 1),(2, 2),(3, 1),(3, 3)} ,
R3 = {(1, 2),(2, 1),(3, 3)} ,
R4 = {(1, 3),(2, 3)} .
a) Which of the relations are reflexive?
b) Which of the relations are symmetric?
c) Which of the relations are antisymmetric?
d) Which of the relations are transitive?
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