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propositional logic

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Let p, q, and r be the propositions
p :You get an A on the final exam.
q :You do every exercise in this book.
r :You get an A in this class.
Write these propositions using p, q, and r and logical
connectives (including negations)

"You get an A on the final, but you don’t do every exercise
in this book; nevertheless, you get an A in this class"

2 Answers

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(P ^ -Q ^ r)

Nevertheless means "in spite of that",which doesn't mean  implication of any statement.It is simply "you doesn't work hard inspite of that you top in exam." means "you dosn't work hard and you top in exam".

Same with "but".Which also mean additional statement.

Both mean AND.

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