Chapter 1.1, Problem 11E

Le p and q be the prepositions “Swimming at the New Jersey shore is allowed” and “Sharks have been spotted near the shore,” respectively. Express each of these compound propositions as an English sentence.

a) $\neg q$

b) $p\wedge q$

c) $\neg p\vee q$

d) $p\to \neg q$

e) $\neg q\to p$

f) $\neg p\to \neg q$

g) $p\leftrightarrow \neg q$

h) $\neg p\wedge \left(p\vee \neg q\right)$