Discrete Mathematics
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.
Writing the sentence "Getting an A on the final and doing every exercise in this book is sufficient for getting an A in this class" with the proper connectives, according to the book, would give us the following result: (p ∧ q) → r
The problem is, when the statement says that doing this and that is SUFFICIENT, then it makes us (well, at least I) think that the antecedent should be r, right? Letting us with this answer: r → (p ∧ q).
I really do not understand why the answer is not like that. I appreciate if someone could help me.