If A = 1, 2, 3 , then a relation R = (2, 3) on A is: - Vidyadip

MCQ

If $A = \{1, 2, 3\},$ then a relation $R = \{(2, 3)\}$ on $A$ is:

A
Symmetric and transitive only.
B
Symmetric only.
✓
Transitive only.
D
None of these.

✓

Answer

Correct option: 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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