Answer to Question #312923 in Discrete Mathematics for SAMMY

Question

1.     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

b)     ¬q ↔ r

c)     q →¬ r

d)     p ∨ q ∨ r

e)     (p → ¬r) ∨ (q → ¬r)

Answer 1

a) If you have the flu, then you will miss the final examination

b) You will not miss the final examination if and only if you pass the course

c) If you miss the final examination then you don't pass the course

d) you have the flu or you miss the final examination or you pass the course

e) If you have the flu then you will not pass the course or if you miss the final examination then you will not pass the course either