# Kenneth Rosen Edition 6th Exercise 1.1 Question 10 (Page No. 17)

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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 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.

edited

A) r ⋀ ~q

B)p⋀q⋀r

C)r--->p

D)p⋀~q⋀ r ( i guess here nevertheless  means "and')

E) (p⋀q)-->r

F)r<-->(q⋁p)

edited by
1
@sonam : Yes neverthesless is used as AND only . I thought same :D
0
first one will be r ⋀ ~q...
1
yes

edited thanks

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