Let p represent a true statement, while q and r represent false statements. Find the truth value of the compound statement.
-$$\sim [ ( \sim p \wedge q ) \vee r ]$$

Question

Quizplus · Accepted Answer

The compound statement simplifies as follows: $\sim p$ is false because $p$ is true; $\sim p \wedge q$ is false because one of the components ($\sim p$) is false; $(\sim p \wedge q) \vee r$ is false because both components ($\sim p \wedge q$ and $r$) are false; finally, $\sim [ (\sim p \wedge q) \vee r ]$ is true because it negates the false value of the inner expression.

Let P Represent a True Statement, While Q and R ∼[(∼p∧q)∨r]\sim [ ( \sim p \wedge q ) \vee r ]∼[(∼p∧q)∨r]

Let P Represent a True Statement, While Q and R $\sim [ ( \sim p \wedge q ) \vee r ]$