1. The problem is to create a truth table for the logical expression $p \lor q$, where $\lor$ represents the logical OR operation. 2. The OR operation $p \lor q$ is true if at least one of $p$ or $q$ is true, and false only if both $p$ and $q$ are false. 3. We list all possible truth values for $p$ and $q$ and then determine $p \lor q$ for each case: | $p$ | $q$ | $p \lor q$ | |-----|-----|------------| | T | T | T | | T | F | T | | F | T | T | | F | F | F | 4. Explanation: - When both $p$ and $q$ are true, $p \lor q$ is true. - When $p$ is true and $q$ is false, $p \lor q$ is true. - When $p$ is false and $q$ is true, $p \lor q$ is true. - When both $p$ and $q$ are false, $p \lor q$ is false. This completes the truth table for $p \lor q$.