Question:medium
Consider the set \( M = \{1,2,3\} \) along with the relation \( R = \{(1,2), (1,1), (3,1), (3,4), (3,3), (4,3)\ \). Which of the following statements is true?
Consider the set \( M = \{1,2,3\} \) along with the relation \( R = \{(1,2), (1,1), (3,1), (3,4), (3,3), (4,3)\ \). Which of the following statements is true?
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Always check symmetry using one counterexample, and transitivity using chain pairs like \((a,b),(b,c)\).
Updated On: Apr 30, 2026
- The relation is symmetric but not transitive
- The relation is transitive but not symmetric
- The relation is both symmetric and transitive
- The relation is neither symmetric nor transitive
- The relation is reflexive
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The Correct Option is D
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