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I need this ASAP 4. Re-write each of the following statements in quot;if . then .quot; form. In each case identify the hypothesis(es) and the...
I need this ASAP
4. Re-write each of the following statements in "if ... then ..." form. In each case identify the hypothesis(es) and the conclusion of the proposition.
(a) He gets fat if he eats sugar, salt and transfat.
(b) When a firm is maximizing profit, MR=MC.
(c) Heavy rain all night will mean that the ground is wet in the morning.
(d) Black Caviar won the race and therefore had its nose in front at the post.
(e) Black Caviar won the race and therefore was first out of the barrier.
(f) I am now twenty one years of age, so I must have been twenty at some stage.
Comment on whether the hypothesis(es) is/are necessary, sufficient, necessary and sufficient or none of these, for the conclusion.
5(i). Define the converse of a proposition.
5(ii) Is the converse of a true statement necessarily true? Why?
5(iii) Write down the converse of 4(b) and 4(f). Are these statements true? Why?