Let p, q, and r be the propositions p: You get an A on the final exam q: You do

ID: 3727798 • Letter: L

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 the following propositions in symbolic form i.e., using p, q, and r and logical connectives

1)You get an A in this class, but you do not do every exercise in this book.

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

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

4)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.

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

6)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.

Ans:
1) r ¬ q
2) p q r
3) r p
4) p ¬ q r
5) (p q) r
6) r (q p)

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.