Question

Letp,qandrbe the propositions such that,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 usingp,q,rand logical connectives.
(a) If you do every exercise in this book then you will get an A in this class.
(b) You get an A in class only if you get an A in the final exam.
(c) To get an A in this class it is necessary for you to get an A in the final.
(d) Getting an A in the final and doing every exercise in this book is sufficient for getting anA in this class.
(e) You will get an A in this class if and only if you either do every exercise in this book oryou get an A on the final exam.

Answer 1

Answer:

a) r→q

b) r→p

c) r→p

d) r→ p∧q

e) r→ p∨q

Step-by-step explanation:

Using logical connectives, as shown in the picture below, we can write all of the statements of the question.

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"

a) r→q

b) r→p

c) r→p

d) r→ p∧q

e) r→ p∨q