The problem asks to find the truth value of the logical expression $p \lor \neg q$ given that:

• $p$ is true,
• $q$ is false.

Let’s break down the expression:

1. Negation of $q$ (i.e., $\neg q$): Since $q$ is false, $\neg q$ (not $q$) is true.

2. Disjunction (OR) $p \lor \neg q$:

   • The logical OR ($\lor$) is true if at least one of the operands is true.
   • $p$ is true, and $\neg q$ is also true.
   • Since both $p$ and $\neg q$ are true, the entire expression $p \lor \neg q$ is true.

Final Answer: True

Would you like any further explanation or have additional questions?

Here are 5 related questions for further practice:

1. What is the truth value of $p \land \neg q$ given the same conditions?
2. If both $p$ and $q$ are false, what is the truth value of $p \lor q$?
3. How does the truth table of a disjunction $p \lor q$ look?
4. What is the truth value of $\neg (p \land q)$ if $p$ is true and $q$ is false?
5. What is the difference between conjunction and disjunction in logic?

Tip: Always remember that in logical OR ($\lor$), if either value is true, the whole expression evaluates to true.