Question: 1. Prove that if n is even, then n2 is even.
2. Prove that if n is odd, then n2 +5n-3 is also odd.
3. Challenge: Invent your own false proposition and accompany it with a counter example.
4. List all the subsets of {egg,duck,goose}. How many are there? How many of them contain egg? ... duck? ... goose?