2. Given the following logical arguments: If there was a drop in oil pressure, then the oil pump was defective. If a car just had an oil filter changed less than 3 months, then there was a drop in oil pressure. The oil filter was not clogged. A car just had an oil filter changed less than 3 months or the oil pump was defective. Therefore, the oil pump was defective. p: There was a drop in oil pressure. q: The oil filter was clogged. r: The oil pump was defective. s: A car just had an oil filter changed less than 3 months. a. Based on the given propositional variables, list down the hypothesis and conclusion into the mathematical form. [5 marks] [See Next Page MTK3013: Discrete Structures b. Determine the appropriate rules of inference to be used to deduct the hypotheses to get the conclusion [6 marks)