Answer to Question #97897 in Discrete Mathematics for Lanisa

Question #97897
Let p and q bethepropositions“Theelectionisdecided” and“Thevoteshavebeencounted,”respectively.Express each of these compound propositions as an English sentence
1
Expert's answer
2019-11-04T09:41:20-0500

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.


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