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Question

Question: Let A = {1, 2, 3, 4} and let R= {(2, 2), (3, 3), (4, 4), (1, 2)} be a relation on A. Then R is...

Let A = {1, 2, 3, 4} and let R= {(2, 2), (3, 3), (4, 4), (1, 2)} be a relation on A. Then R is

A

Reflexive

B

Symmetric

C

Transitive

D

None of these

Answer

Transitive

Explanation

Solution

Since (1, 1)R\notin Rso, is not reflexive.

Now (1, 2) R\notin R, therefore R is not symmetric Clearly R is transitive.