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Question: modal logic...

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Modal Logic
2 True or false, and why? The statements below are about relations on a fixed set X. For each statement below, say whether it is true or false. If it is true, give a short proof. If it is false, give a counterexample. 1. Every reflexive relation on X is serial. 2. Every relation on X which is reflexive and transitive is also symmetric. 3. Every relation on X which is Euclidean, symmetric and transitive is reflexive. 4. Every relation on X which is Euclidean and reflexive is symmetric.
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