Which of the following arguments are valid? For the valid ones, write down the argument symbolically. (a)

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Which of the following arguments are valid? For the valid ones, write down the argument symbolically.

(a) I eat chocolate if I am depressed. I am not depressed. Therefore I am not eating chocolate.

(b) I eat chocolate only if I am depressed. I am not depressed. Therefore I am not eating chocolate.

(c) If a movie is not worth seeing, then it was not made in England. A movie is worth seeing only if critic Ivor Smallbrain reviews it. The movie Cat on a Hot Tin Proof was not reviewed by Ivor Smallbrain. Therefore Cat on a Hot Tin Proof was not made in England.

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