$R = \{(1, 2), (3, 4)\}$ is a relation on $A = \{1, 2, 3, 4\}$ . What is the least number of pairs that must be added to $R$ to make it an equivalence relation?

4

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5

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6

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8

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Show the answer and explanation

CorrectNot quiteAnswer C

Correct answer: C

Worth noting

4 adds only the pairs $(a, a)$ ; the chains still need their missing links.

Ten questions from Relations & Functions, at your own pace.

Ten questions from Relations & Functions, at your own pace.

R={(1,2),(3,4)}R = \{(1, 2), (3, 4)\}R={(1,2),(3,4)} is a relation on A={1,2,3,4}A = \{1, 2, 3, 4\}A={1,2,3,4}. What is the least number of pairs that must be added to RRR to make it an equivalence relation?