Let p be the proposition “You get an A on the final exam,” let q be the proposition “You did every exercise

in this book,” and let r be the proposition “You get an A in this class.” Write these propositions using 𝑝𝑝,

𝑞𝑞, and 𝑟𝑟 and logical connectives.

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

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

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

d) You get an A on the final but did not do every exercise in this 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 this

class.