If A = {1, 2, 3}, then a relation R = {(2, 3)} on A is
(a) symmetric and transitive only
(b) symmetric only
(c) transitive only
(d) none of these

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Solution

(c) transitive only

The relation R is not reflexive because every element of A is not related to itself. Also, R is not symmetric since on interchanging the elements, the ordered pair in R is not contained in it.

R is transitive by default because there is only one element in it.

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Similar questions

If A={a,b,c} , then the relation R={(b,c)}on A is

a reflexive only

b symmetric only

c transitive only

d reflexive and transitive only

R = {(A, B) : A \cap B

R

R = {(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)}

A = {1, 2, 3, 4}

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