Final answer:
The logical statement 'for every x in X, Tx ⇒ PX' means that if a pet x gets a treat, then it is considered a good pet. It indicates a sufficient but not necessary condition within the population of pets in the US.
Step-by-step explanation:
The expression '∀ x ∈ X, Tx ⇒ PX' translates to 'for every pet x in the set of all pets in the US, if the pet x gets a treat, then pet x is a good pet.' This is a logical statement that asserts a conditional relationship between pets getting treats (T) and being considered good pets (P). The 'if-then' structure (Tx ⇒ PX) indicates that getting a treat is a sufficient condition for being a good pet but not a necessary one; it does not state that only pets that get treats can be considered good pets, just that those who do get treats are considered good.