Hi guys,

Having issues understanding the answer provided by the book to the following question:

Question: Let P stand for the statement "I will buy the pants" and S for the statement "I will buy the shirt." What English sentence is represented by the following expression

$\displaystyle \neg(P \land \neg S)$

The books answer is: I won't buy the pants without the shirt.

My answer turns out to be: I will not buy the pants or I will buy the shirt.

To get my answer I did the following:

$\displaystyle \neg(P \land \neg S)$

$\displaystyle \neg P \lor \neg \neg S$ (De Morgan's Law)

$\displaystyle \neg P \lor S$ (Double Negation Law)

Any help would be appreciated! I am only a day into this book and the answer the book provided seems nonsense to me.

Thanks