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please help with number 2 1. Contrapositive and contradiction (4 points) Consider the following claim: For all integers m and n, if m - n

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please help with number 2

1. Contrapositive and contradiction (4 points) Consider the following claim: For all integers m and n, if m - n is odd then m is odd or n is odd. (1) (2 points) Prove the claim using a proof by contrapositive (2) (2 points) Prove the claim using a proof by contradiction 2. Equivalence (4 points) Prove the following for all E R: x is rational 2-5 is rational 1/3 is rational

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