Description: Ch 01 Sec 1 Ex 12 Let , , and be the propositions You have the flu. You miss the final examination. You…

Description: Ch 01 Sec 1 Ex 12
Let , , and be the propositions
You have the flu.
You miss the final examination.
You pass the course.
Express each of these propositions as an English sentence.
a)
You pass the course if you have the flu.
If you do not pass the course, then you do not have the flu.
If you do not pass the course, then you have the flu.
If you pass the course, then you have the flu.
If you pass the course, then you do not have the flu.
b)
You 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.
You do not pass the course if and only if you do not have the flu.
c)
You have the flu, or miss the final exam, and pass the course.
You have the flu, or miss the final exam, or pass the course.
You have the flu, and miss the final exam, and pass the course.
You have the flu, and miss the final exam, or pass the course.
You do not have the flu, and miss the final exam, and pass the course.
d)
It is the case that if you have the flu then you do not pass the course and the case that if you
miss the final exam then you do not pass the course.
It is either the case that if you have the flu then you do not pass the course or the case that if
you miss the final exam then you do not pass the course.
It is the case that if you do not pass the course, then you have the flu or missed the final exam.
It is the case that if you have the flu and miss the final exam, then you do not pass the course.
If you do not pass the course, then you have the flu and you missed the final exam.
e)
You have the flu or miss the final exam, and you do not miss the final exam or pass the course.
You have either the flu or miss the final exam, or you do not miss the final exam or pass the
course.
You have both the flu and miss the final exam, and do not miss the final exam and pass the
course.
Either you have the flu and miss the final exam, or you do not miss the final exam and pass the course