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For the set T = {7, 8, 9}, which of the following relations is reflexive but not transitive?

1. R = {(7,7), (8,8), (9,9), (8,9), (9,7)}
2. R = {(7,8), (8,7), (8,9)}
3. R = {0}
4. R = {(7,8), (8,8), (8,9)}

Correct answer: R = {(7,7), (8,8), (9,9), (8,9), (9,7)}

Solution

Only the first relation contains all three reflexive pairs; it fails transitivity because (8,9) and (9,7) are present but (8,7) is not.

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