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Problem 14: (Creating A Truth Table For An Implication)
Suppose your teacher tells you the following "If you pass the final, then you pass the class." This sentence contains a construction of the form "If $P$, then $Q$."
- There are four different scenarios that might occur as you may or may not pass the final, and you may or may not pass the class. List the four scenarios and decide in each scenario if the teacher lied.
- Suppose that $P$ and $Q$ are statements. Use your answer to the previous part to construct a truth table for the statement "If $P$ then $Q$."
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