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Question: problems for problems involving logical equivalences use the list of...

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Problems For problems involving logical equivalences, use the list of basic equivalent statements provided in the notes. Show your intermediate steps. 1. Use logical equivalences to show that-o-p →-q)a (-q p)) is equivalent to-p. 2. Use logical equivalences to show that ((p V))A q is a contradiction 3. Determine the truth value of the following statements. If it is true, provide an explanation for your reasoning. If it is false, provide a counterexample. 4. For each of the statements in Problem 3, write its negation. Your answers should not contain the symbol - 5. Consider the following argument. I eat a banana. I eat a pear if and only if I do not eat a banana. If I do not eat a pear, then I eat a strawberry. Therefore I eat a strawberry. (a) Choose letters to represent the simple statements in the argument, then write the ar gument using the symbolic format introduced in class. Hint: the key word therefore separates premises from conclusions.] (b) Determine if the argument is valid or invalid.

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