Prove or Disprove: There exist three distinct positive integers p, q, r such that p² = q' .
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topic: Methods of proof
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- 10. Prove or disprove that the set of all nonzero integers is closed with respect to a. addition defined on . b. multiplication defined on .25. Prove that if and are integers and, then either or. (Hint: If, then either or, and similarly for. Consider for the various causes.)Let , and be integers . Prove or disprove that implies.