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1. Define propositions P and Q and use them to give a real-world example of two fallacies we discussed (denying the hypothesis and affirming the conclusion).

2. Prove that if n is even, then 6n+4 is even.

3. Prove that if n is even, then n*n+n is even.

4. Prove that if n*n is even then n is even.

5. Prove that if n*n is odd then n is odd.