The symbol $p \wedge q$ represents the logical conjunction (AND) of $p$ and $q$. For a conjunction to be true, both $p$ and $q$ must be true.

In this case:

• $p$ is true
• $q$ is false

Since $q$ is false, the conjunction $p \wedge q$ is false.

Would you like more details or have any other questions?

Here are 5 related questions:

1. What is the truth value of $p \vee q$ (OR) if $p$ is true and $q$ is false?
2. What is the truth value of $p \Rightarrow q$ (implication) when $p$ is true and $q$ is false?
3. How does the truth table for conjunction $p \wedge q$ look like?
4. What happens if both $p$ and $q$ are false in a conjunction?
5. How is logical equivalence defined in truth tables?

Tip: In logical operations, conjunction (AND) is only true when all involved statements are true.