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On the set P = {1, 2, 3}, define the relation R as 'is greater than', giving R = {(2,1), (3,2), (3,1)}. Determine whether R is transitive.

1. Yes, R is transitive
2. No, R is not transitive
3. R is reflexive
4. R is symmetric

Correct answer: Yes, R is transitive

Solution

The only pair to verify is (3,2) and (2,1), and (3,1) is indeed in R, so R is transitive.

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