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If a relation R on the set {1, 2, 3} be ...

If a relation R on the set {1, 2, 3} be defined by R = {(1, 2)}, then R is

A

reflexive

B

transitive but not symmetric

C

symmetric

D

none of these

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Show that the relation R in the set {1, 2, 3} given by R = {(1, 2), (2, 1)} is symmetric but neither reflexive nor transitive.

The relation R on the set A = {1, 2, 3} defined as R = {(1, 1), (1, 2), (2, 1), (3, 3)} is reflexive, symmetric and transitive.

Show that the relation R in the set {1, 2, 3} defined as R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3)} is reflexive, but neither symmetric nor transitive.

Show that the relation R in the set {1, 2, 3} given by R= {(1, 2), (2, 1)} is symmetric but neither reflexive nor transitive.

Show that the relation R in the set {1,2,3} defined as R={(1,3), (3, 2), (1, 2)} is transitive but neither reflexive nor symmetric.

The relation R in the set {1, 2, 3} given by R = {(1, 2), (2, 1)} is not symmetric.

Show that the relation R in the set {1, 2, 3} given by R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3)} is reflexive but neither symmetric nor transitive.

State the reason for the relation R, in the set {1,2,3} given by R= {(1,2), (2, 1), not to be transitive.

Show that the relation R in the set {1,2,3} given by R = {(1,2),(2,1)} is symmetric but neither reflexive nor transitive.

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