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Prove the following statement by contradiction (a) For all integers n, 3n+2 is not divisible by 3. (b) There is no greatest even integer

Prove the following statement by contradiction (a) For all integers n, 3n+2 is not divisible by 3. (b) There is no greatest even integer (c) The product of any nonzero rational number and any irrational number is irrational

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