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Let R = {(2,3),(3, 4)} be relation defined on the set of natur

Question

Let $R = {(2, 3), (3, 4)}$ be relation defined on the set of natural numbers. The minimum number of ordered pairs required to be added in $R$ so that enlarged relation becomes an equivalence relation is

3

5

7

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Mila Discussed

Let

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

be relation defined on the set of natural numbers. The minimum number of ordered pairs required to be added in

R

so that enlarged relation becomes an equivalence relation is

12 mins ago

Discuss this question LIVE

12 mins ago

Text solutionVerified

for equivalence relation

(a, a) \in R

(reflexive)

(a, b) \in R

(symmetric)

(b, a) \in R

(a, b) \in R

(b, c) \in R

(transitive) then

(a, c) \in R

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

So minimum number of ordered pairs to be added

= 7

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Question Text	Let $R = {(2, 3), (3, 4)}$ be relation defined on the set of natural numbers. The minimum number of ordered pairs required to be added in $R$ so that enlarged relation becomes an equivalence relation is
Answer Type	Text solution:1
Upvotes	150