3 mathematical induction 3 mathematical induction can be used not only to prove equalities, but also to prove inequalities. the predicate p (n) is the statement n! < nnwhere n is an integer greater than 1. a) what is the statement p (2)? b) show that p (2) is true, i.e., complete the basis step of the proof by induction. c) what is the inductive hypothesis of a proof by mathematical induction that p (n) is true for all natural numbers n greater than 1? recall that n! is the factorial of n, i.e., n!