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  3. 1. write a statement that satisfies the following:

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

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Advance Math

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.

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