Question 2: Consider the following narration: If equality of opportunity is to be achieved then those people previously disadvantaged should be given special opportunities. If those people previously disadvantaged should be given special opportunities then some people should receive preferential treatment. If some people receive preferential treatment then equality of opportunity is not to be achieved. Some people are not going to receive preferential treatment. Therefore, equality of opportunity is not to be achieved. a) Encode the argument in Propositional Calculus. b) As a result of a) above, use logical rules of inference to show that the given argument is sound/valid. HINT: For any statement forms, P and Q P \rightarrow Q = ¬Q \rightarrrow ¬P.