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

Question

Quizplus · Accepted Answer

The compound statement simplifies as follows: $\sim [ \sim p \wedge ( \sim q \vee p ) ]$ simplifies to $\sim [ False \wedge ( True \vee True ) ]$, which further simplifies to $\sim [ False \wedge True ]$, resulting in $\sim [ False ]$, which finally simplifies to True.

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

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