Answer to Question #320479 in Discrete Mathematics for denden

Question

Translate the given statement into logical expression 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 of a: “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

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."

∿s ⟶ (w⟶d)