Answer to Question #294215 in Discrete Mathematics for sunshine02

Question

Translate the given statements into propositional logic using the propositions provided

To use the wireless network in the airport you must pay the daily fee unless you are a subscriber to the service. Express

your answer in terms ofw: “You can use the wireless network in the airport,” d: “You pay the daily fee,” and s: “You are a

subscriber to the service.”

Answer 1

Solution:

~s ⟶ (w⟶d)

Here (w⟶d) means "If you want to use the wireless network in the airport then you must pay daily fee".

Let P = (w⟶d)

So (~s⟶P) means P unless ~(~s) as we  (p ⟶ q) means q unless ~p.

So it means "If you want to use the wireless network in the airport then you must pay daily fee unless you are a subscriber to the service."