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

Question

Quizplus · Accepted Answer

The compound statement simplifies to $\sim \left[ ( \mathrm {False} \wedge \mathrm {True} ) \vee \mathrm {True} \right]$, which simplifies further to $\sim \left[ \mathrm {False} \vee \mathrm {True} \right]$ = $\sim \mathrm {True}$ = False.

Let P Represent a True Statement, While Q and R ∼[(∼p∧∼q)∨∼q]\sim \left[ ( \sim \mathrm { p } \wedge \sim \mathrm { q } ) _ { \vee } \sim \mathrm { q } \right]∼[(∼p∧∼q)∨​∼q]

Let P Represent a True Statement, While Q and R $\sim \left[ ( \sim \mathrm { p } \wedge \sim \mathrm { q } ) _ { \vee } \sim \mathrm { q } \right]$