Answer to Question #312615 in Discrete Mathematics for Euro

Question

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).

1. You get an A on the final, you do every exercise in this book, and you get an A in this class.

2. To get an A in this class, it is necessary for you to get an A on the final.

3. 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.

4. Getting an A on the final and doing every exercise in this book is sufficient for getting an A in this class.

Answer 1

1 $pᴧqᴧr$

2 $r→p$

3 $pᴧ¬qᴧr$

4 $(p∧q)→r$