1. Write a statement that satisfies the following: universal statement (for all, for every, etc.) uses...

1. Write a statement that satisfies the following:

universal statement (for all, for every, etc.)
uses variables and a set (integers, rational numbers, or real numbers)
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 by contraposition.

3. Give the statement you would assume in a proof by contradiction.

4. Decide which proof method you think would be easiest to use to prove your original statement: direct proof, proof by contraposition, or proof by contradiction.

Solutions

Expert Solution

Colby Messinger answered 11 months ago

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