Consider the statement
Not all good-looking people are nice.
P(x): good-looking people
N(x): Nice
Which one of the following logical formula represents the above statement?
1
∀x (P(x) ∧ ¬ N(x))
2
∃x(P(x) ∨ ¬ N(x))
3
∃x(P(x) ∧ ¬ N(x))
4
∀x (P(x) → N(x))
5
Question Not Attempted