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Transitive Relations

Let A= 1, 2...

Question

Let $A = {1, 2, 3}$ and $R = {(1, 3), (3, 3)}$ then the relation R on A is:

A

reflexive

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B

symmetric

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C

transitive

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D

all the given

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Solution

The correct option is D transitive
For $1 R 3$ and $3 R 3$ , there exists $(1, 3)$ . So, $R$ is transitive on $A$ .

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