1. Write a statement that satisfies the following:
- universal statement (for all, for every, etc.)
- uses variables and a set (integers, rational numbers, or realnumbers)
- the predicate is a conditional (if...then...) statement
- the predicate contains at least one of the following terms:even, odd, prime, composite, rational, irrational
- the statement is true
- the statement is not taken from the textbook
2. Give the statement you would use to give a proof bycontraposition.
3. Give the statement you would assume in a proof bycontradiction.
4. Decide which proof method you think would be easiest to useto prove your original statement: direct proof, proof bycontraposition, or proof by contradiction.
