Question

1. read the following complex sentence.

ann eats a hamburger, and andy eats pizza.

what is the correct logical statement for the complex sentence?

○ $p \vee q$

○ $p \cup q$

○ $p \wedge q$

○ $p \
ightarrow q$

Explanation:

1. First, define the propositions: Let \( p \) be "Ann eats a hamburger" and \( q \) be "Andy eats pizza".
2. The sentence "Ann eats a hamburger, and Andy eats pizza" is a conjunction (both statements are true at the same time).
3. In logic, the conjunction of two propositions \( p \) and \( q \) is denoted by \( p \land q \).
4. The symbol \( \lor \) represents disjunction (or), \( \cup \) is a set - theoretic union (not used for logical statements in this context), and \( \to \) represents implication (if - then). So the correct logical statement is \( p \land q \).

Answer:

\( p \land q \)