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QUESTION

Give a recursive definition of the set P of all positive integers greater than 5 2. formulate the appropriate induction principle, and then 3.

1. Give a recursive definition of the set P of all positive integers greater than 5

2. formulate the appropriate induction principle, and then 

3. use mathematical induction to prove that

     4n < (n2-7) for all positive integers n>5

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