Solving Logic Problem: Pizza & Students

[ur5pointos2sl]

I have a problem that states:

Write each english sentence in symbolic form using the following predicates:
m = Melissa
p = Pizza

S(x) = ' x is a student '
L(x, y) = ' x likes y '
E(x, y) = ' x eats y '

Take A as the universal quantifier in this problem and M as the existential quantifier since E is already being used.

I know that when:
a) All students eat pizza. I get this Ax (S(x) -> E(x, p) )

but when
b) Only students eat pizza.

I get confused when the word only is used. Is there a better way to view this sentence that would make it more obvious what the answer would be?

 

[micromass]

Maybe try to say "anybody who eats pizza must be a student"...

 

[HallsofIvy]

"If a person eats pizza, that person is a student".

 

[ur5pointos2sl]

Maybe try to say "anybody who eats pizza must be a student"...

"If a person eats pizza, that person is a student".

Thanks!