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Question: assign letters to the atomic sentences and translate each of...

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Assign letters to the atomic sentences and translate each of the following arguments into logical notation. if the argument is valid, give a formal proof; otherwise give a counter-example.

(9) If f is continuous on (a, bl, then f has a maximum on [a, b] iff is defined at a. If f is not defined at a, then there is a point e between a and b such that f(c) f(x) for all x E [a, b]. I there is such a point c between a and b such that f(c) f (x) for all xE [a, b], then f has a maximum on [a, b]. ercises 2 35 (a) Therefore, f has a maximum on [a, b (b) Therefore, if f is continuous on (a, b], then f has a maximum on [a, b (Use the letters C, M, D, and B for the atomic sentences.)

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