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3. Consider the following argument: If there is free food outside, it is a sunny day....

3. Consider the following argument: If there is free food outside, it is a sunny day. I am in class if there was no free food outside. Therefore, I am in class while it is not sunny out. (a) Translate this argument into formal logical notation. Carefully define the propositional variables you use. (b) Use a truth table to determine whether the argument is valid or invalid. Explain how your table shows that the argument is valid/invalid.

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