QUESTION 9 DISCRETE MATHEMATICS. HELP

9. Let P(n) be the statement that we can form n cents of postage using just 4-cent and 11-cent stamps. (a) Use mathematical induction to prove that P(n) is true for all n30. [8 marks] (b) Show that P(30),P(31),P(32),P(33) is true as the basis step in a strong induction approach. Hence complete the inductive step. [8 marks]