In Example 3 we found that ~P ∨ Q is logically equivalent to P → Q. Using this equivalence, rewrite each of the following statements. For example,
If today is Monday, then tomorrow is Tuesday.
can be rewritten as
Today is not Monday or tomorrow is Tuesday.
a. If the tide is out, then we can go clamming.
b. If Louise drove her new car, then Florence will accompany her.
c. If today is Friday, then tomorrow is not Sunday.
d. Either Chris does not toss the ball, or Gary punts.
e. Carlos wasn’t feeling well, or he will not go to New York City.
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