Answer
(a) If you have the flu, you miss the final examination.
(b) If and only if you attend the final examination, you pass the course.
(c) If you miss the final examination, you do not pass the course.
(d) You have either have the flu, miss the final examination or pass the course.
(e) If you have the flu or miss the final examination, you do not pass the course.
(f) You either have the flu and miss the final examination or you do not miss the final examination and pass the course.
Work Step by Step
Here, we want to replace each instance of the proposition p with "you have the flu," of q with "you miss the final examination," and of r with "you pass the course" for
(a) $p\rightarrow q$
(b) $\neg q \Leftrightarrow r $
(c) $q\rightarrow \neg r$
(d) $ p\lor q \lor r $
(e) $(p\rightarrow \neg r)\lor (q\rightarrow \neg r)$
(f) $(p \land q)\lor (\neg q\land r)$
