1. (a) State whether each of the following is the converse, inverse or contrapositive of the proposition (i) (ii) (iii) (b) (i) Copy and complete the table below to show the truth values of x y and -y -x. х У ~y (ii) Hence, giving a reason for your answer, state whether x y and --y =-x are logically equivalent. (c) Let p represent the proposition 'You have your cake', which may be considered equivalent to 'You do not eat your cake' in this question. (i) Express the proposition 'You have your cake and cat it' in symbolic form. Hence, with the aid of truth tables, explain why the proposition You have your cake and eat it' is a contradiction. (ii)

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