logistic_guy
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- Apr 17, 2024
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Let \(\displaystyle p, q,\) and \(\displaystyle r\) be the propositions
\(\displaystyle p\) : You get an A on the final exam.
\(\displaystyle q\) : You do every exercise in this book.
\(\displaystyle r\) : You get an A in this class.
Write these propositions using \(\displaystyle p, q,\) and \(\displaystyle r\) and logical connectives (including negations).
\(\displaystyle \bold{a)}\) You get an A in this class, but you do not do every exercise in this book.
\(\displaystyle \bold{b)}\) You get an A on the final, you do every exercise in this book, and you get an A in this class.
\(\displaystyle \bold{c)}\) To get an A in this class, it is necessary for you to get an A on the final.
\(\displaystyle \bold{d)}\) 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.
\(\displaystyle \bold{e)}\) Getting an A on the final and doing every exercise in this book is sufficient for getting an A in this class.
\(\displaystyle \bold{f)}\) You will get an A in this class if and only if you either do every exercise in this book or you get an A on the final.
\(\displaystyle p\) : You get an A on the final exam.
\(\displaystyle q\) : You do every exercise in this book.
\(\displaystyle r\) : You get an A in this class.
Write these propositions using \(\displaystyle p, q,\) and \(\displaystyle r\) and logical connectives (including negations).
\(\displaystyle \bold{a)}\) You get an A in this class, but you do not do every exercise in this book.
\(\displaystyle \bold{b)}\) You get an A on the final, you do every exercise in this book, and you get an A in this class.
\(\displaystyle \bold{c)}\) To get an A in this class, it is necessary for you to get an A on the final.
\(\displaystyle \bold{d)}\) 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.
\(\displaystyle \bold{e)}\) Getting an A on the final and doing every exercise in this book is sufficient for getting an A in this class.
\(\displaystyle \bold{f)}\) You will get an A in this class if and only if you either do every exercise in this book or you get an A on the final.