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Let R be the relation in the set {1, 2, ...

Let R be the relation in the set {1, 2, 3, 4} given by R = {(1, 2), (2, 2), (1, 1), (4,4), (1, 3), (3, 3), (3, 2)}. Choose the correct answer.

A

R is reflexive and symmetric but not transitive.

B

R is reflexive and transitive but not symmetric.

C

R is symmetric and transitive but not reflexive.

D

R is an equivalence relation.

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Let the relation in the set {1, 2, 3, 4} given by R= {(1, 2), (2, 2), (1, 1), (4,4), (1, 3), (3, 3), (3, 2) then (a)R is reflexive and symmetric but not transitive (b)R is reflexive and transitive but not symmetric (c)R is symmetric and transitive but not reflexive (d)R is an equivalence relation

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.

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.

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

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