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Let A={ 1,2,3 } and R={ ( 1,2 ) ,( 2,3 ) ,( 1,3 ) } be a rela

Question

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

neither reflexive nor transitive

neither symmetric nor transitive

transitive

none of these

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Amelia Discussed

Let

A = {1, 2, 3}

and

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

be a relation on

A

. Then

R

12 mins ago

Discuss this question LIVE

12 mins ago

Text solutionVerified

The given relation is not reflexive as

(1, 1), (2, 2), (3, 3) \neq \in R

Again the relation is not symmetric as

(1, 2) \in R

but

(2, 1) \neq \in R

But the relation is transitive as

(1, 2) \in R, (2, 3) \in R \Rightarrow (1, 2) \in R

for all

1, 2, 3 \in A

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Question Text	Let $A = {1, 2, 3}$ and $R = {(1, 2), (2, 3), (1, 3)}$ be a relation on $A$ . Then $R$ is
Answer Type	Text solution:1
Upvotes	150