Let S be the set of odd positive integers. A function F : N S is defined by F(n) = k for

Chapter 9, Problem 9.77

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Let S be the set of odd positive integers. A function F : N S is defined by F(n) = k for each n N,where k is that odd positive integer for which 3n + 1 = 2mk for some nonnegative integer m. Prove ordisprove the following:(a) F is one-to-one.(b) F is onto.

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