Your class has a textbook and a final exam. Let $P,Q$ and $R$ be the following propositions:
- $P:$ You get an $A$ on the final exam.
- $Q:$ You do every exercise in the book.
- $R:$ You get an $A$ in the class.
Translate the following assertions into propositional formulas using $P,Q,R$ and the propositional connectives $\bigwedge$ (and), $\bigvee$ (or),$\neg$ (not) and $\Rightarrow$(implies).
- To get an $A$ in the class, it is necessary for you to get an $A$ on the final.
- 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.