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This question has three parts and tests mathematical induction. (a) Give a recursive definition of the set P of all positive integers greater than 5,

This question has three parts and tests mathematical induction. (a) Give a recursive definition of the set P of all positive integers greater than 5, (b) formulate the applicable induction principle and (c) then apply the induction principle to prove that 2n 3 <= 2 power n 2 for all n > 5.

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