Answer to Question #97897 in Discrete Mathematics for Lanisa

Question

Let p and q bethepropositions“Theelectionisdecided” and“Thevoteshavebeencounted,”respectively.Express each of these compound propositions as an English sentence

Answer 1

Compound propositions

We need to Express the compound sentences as an English sentence.

Answer:

Given

p and q are the prepositions

p: “The election is decided ”

q : “The votes have been counted"

Then,

$~$~ p : “The election is not decided ”

~  q : “The votes have not been counted"

p $\leftrightarrow$ q : the election is decided is equivalent to the votes have been counted

~  q $\to$~  p : If the votes haven't been counted then the election isn't decided.