Chapter 1.1, Problem 16E

Let p, q, and r be the propositions

p: You get an A on the final exam.

q: You do every exercise in book.

r: You get an A in class.

Write these propositions using p, q, and r and logical connectives (including negations).

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

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

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

d) You get an A on the final, but you don't do every exercise in book; nevertheless, you get an A in this class.

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

t) You will get an A in class if and only if you either do every exercise in this book or you get an A on the final.