Let p, q, and r be the following statements: ?

Question

p: Mike is sailing

q: Alice is on vacation

r: Sam is in town

Translate the following statement into English: (p v ~ q) --> ~r

Answer 1

Let's do this in parts.

~q = Alice is not on vacation, so:

(p v ~q) = Mike is sailing or Alice is not on vacation.

~r = Sam is not in town

So putting them together:

If Mike is sailing or Alice is not on vacation, then Sam is not in town.

Hope this helps.