Let P(n) be the statement that a postage of n cents can be formed using just 4-cent and 7-cent stamps. The following is the outline for a proof that P(n) is true if n greater than or equal to 18 using strong induction. a) Show that p(18),P(19),P(20), and P(21) are true completing the basis step for the proof. b) What is the inductive hypothesis of the proof? c) Complete the proof by finishing the inductive step.

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