Answer to Question #312610 in Discrete Mathematics for Euro

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.

p → q

¬q ↔ r

q →¬ r

p ∨ q ∨ r

(p → ¬r) ∨ (q → ¬r)

Answer 1

1. If you have flu then you will miss the final examinations.
2. You won't miss the final examination if and only if you pass the course.
3. if you miss the examination then you will fail the course.
4. you have the flu or you miss the final examination or you pass the course.
5. If you have the flu then you'll will fail the course or if you miss the final examination then you will fail the course.