Chapter 1.1, Problem 12E

Le p and q be the prepositions “The election is decided” and “The votes have been counted,” respectively. Express each of these compound propositions as an English sentence.

a) $\neg q$

b) $p\vee q$

c) $\neg p\wedge q$

d) $q\to p$

e) $\neg q\to \neg p$

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

g) $p\leftrightarrow q$

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