Answer to Question #279466 in Discrete Mathematics for Eton

Question

1.                  Let p and q be the propositions “Swimming at the Corregidor Island shore is allowed” and “Sharks have been spotted near the shore,” respectively. Express each of these compound propositions as an English sentence. 

Answer 1

Let p $\rightarrow$ "swimming at the Corregidor Island shore is allowed"

And $q \rightarrow$ "sharks have been spotted near the shore"

Then, $\neg q \rightarrow$ "sharks have not been spotted near the shore"

Therefore, $p \wedge \neg q \rightarrow$ "swimming at the Corregidor Island shore is allowed and sharks have not been spotted near the shore."