English to Logic conversion

Question

P(x) : x purrs

M(x) : x meows

S(x) : x scratches the furniture

All cats that scratch the furniture do not purr.

Im having trouble deciding if the answer is

∀x (S(x) /\ ¬P(x))

or

∀x (S(x) --> ¬P(x))

Thanks!

Answer 1

∀x (S(x) --> ¬P(x))

THink of it like this:

For all cats, randomly sample one of the cats...

if the sampled cat scratches the furniture, then the said cat does not purr.