A teacher defines a relation 'has the same birthday month' on the students of a class. This relation is:
A teacher defines a relation 'has the same birthday month' on the students of a class. This relation is:
- A. reflexive and symmetric only
- B. reflexive and transitive only
- C. symmetric and transitive only
- D. an equivalence relation
Answer: D) an equivalence relation
Explanation: Everyone shares their own birthday month → reflexive. If A shares with B, B shares with A → symmetric. If A shares with B and B with C, all three have the same month → transitive. Hence equivalence.
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