Answer to Question #313104 in Discrete Mathematics for Cyborg

Question

Let p and q be the propositions “You can take the flight” and “You buy a ticket,” respectively.

Express each of these compound propositions as an English sentence.

a) ¬p b) p∨q

c) ¬p∧q d) q → p e) ¬q →¬p

f) ¬p →¬ q g) p ↔ q h) ¬q ∨(¬p∧ q)

Answer 1

a) You can't take the flight

b) You can take a flight or you can buy a ticket

c) You can't take a flight and you buy a ticket

d) If you buy a ticket then you can take a flight

e) If you can't take a flight then you don't buy a ticket

f) If you don't buy a ticket then you can't take a flight

g) You can take a flight if and only if you buy a ticket

h) You don't buy a ticket or you can't take a flight and you buy a ticket