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Chapter 3: Problem 12
Use De Morgan's laws to write a statement that is equivalent to the given statement. It is not true that Florida and California are both peninsulas.
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Translate each argument into symbolic form. Then determine whether the argument is valid or invalid. You may use a truth table or, if applicable, compare the argument's symbolic form to a standard valid or invalid form. (You can ignore differences in past, present, and future tense.) If The Graduate and Midnight Cowboy are shown, then the performance is sold out. Midnight Cowboy was shown and the performance was not sold out. \(\therefore\) The Graduate was not shown.
Use Euler diagrams to determine whether each argument is valid or invalid. All actors are artists. Sean Penn is an actor. Therefore, Sean Penn is an artist.
Use a truth table to determine whether the symbolic form of the argument is valid or invalid. \(\sim p \vee q\) P ____ \(\therefore q\)
Use Euler diagrams to determine whether each argument is valid or invalid. All cowboys live on ranches. All cowherders live on ranches. Therefore, all cowboys are cowherders.
Use Euler diagrams to determine whether each argument is valid or invalid. All insects have six legs. No spiders have six legs. Therefore, no spiders are insects.
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