Match each relation on 1, 2, 3 in List I with its description in List II.

Match each relation on 1, 2, 3 in List I with…

Question 35

HardOriginal question

Match each relation on $\{1, 2, 3\}$ in List I with its description in List II.

List I	List II
A. $\{(1, 1), (2, 2), (3, 3)\}$	I. Transitive only
B. $\{(1, 2), (2, 1)\}$	II. An equivalence relation
C. $\{(1, 2), (2, 3), (1, 3)\}$	III. Reflexive and transitive, but not symmetric
D. $\{(1, 1), (2, 2), (3, 3), (1, 2)\}$	IV. Symmetric only

A-IV, B-II, C-I, D-IIICorrect answerYour answerA-II, B-IV, C-I, D-IIICorrect answerYour answerA-II, B-IV, C-III, D-ICorrect answerYour answerA-IV, B-II, C-III, D-ICorrect answerYour answer

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CorrectNot quiteAnswer B

Correct answer: B

The identity relation is reflexive, symmetric and transitive; $\{(1, 2), (2, 1)\}$ is symmetric but its chain needs $(1, 1)$ .
$\{(1, 2), (2, 3), (1, 3)\}$ is transitive only; adding $(1, 2)$ to the identity keeps it reflexive and transitive but not symmetric.

Concept: Matching relations to their properties
Typical timeTypical: 150 s
Your timeYours: —

The rule this testsTypes of relations

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

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

Question 35

Explanation