Question 5 (a) (b) Use either the method of contraposition or the method of contradiction to prove that if n, m, p are positive integers such that n² +50 3m+2p then either m≤4, or p ≤6, or n≥11. (6 marks) ≥6 (8 marks) Let a, b be integers. Show that if 3a²+2b³ leaves a reminder of either 0 or 3 when divided by 5, then 3a+2b does not leave a remainder of 1 when divided by 5. (10 marks)

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