Question

Let p, q, and r be the propositions
p:
You have the flu.
q:
You miss the final examination.
r:
You pass the course.
Express each of these propositions as an English sentence.


a) ¬p→q


You have the flu if you miss the final examination.
If you have the flu, then you miss the final examination.
If you do not have the flu, then you miss the final examination.
If you do not have the flu, then you do not miss the final examination.
If you have the flu, then you do not miss the final examination

Answer 1

these question marks thingies are a pain in the a$$

Answer 2

b) ¬r↔p


You pass the course if and only if you do not have the flu.
You do not pass the course if and only if you do not have the flu.
You pass the course if you do not have the flu.
You do not pass the course if you have the flu.
You do not pass the course if and only if you have the flu.

Answer 3

Ok so p is that you have the flu
~p is the negation meaning you not have the flu
q is that you miss the final examination
~q is that you dont miss the examination

Using the above info what do you think ~p~q means?