Determine whether the statements are logically equivalent.
-$\sim \mathrm { p } \wedge \sim \mathrm { q }$ and $\sim ( \mathrm { p } \vee \mathrm { q } )$
A) Yes
B) $\mathrm { No }$

Question

Quizplus · Accepted Answer

The statements are logically equivalent due to De Morgan's laws, which state that $\sim \mathrm { p } \wedge \sim \mathrm { q }$ is equivalent to $\sim ( \mathrm { p } \vee \mathrm { q } )$.

Determine Whether the Statements Are Logically Equivalent ∼p∧∼q\sim \mathrm { p } \wedge \sim \mathrm { q }∼p∧∼q

Determine Whether the Statements Are Logically Equivalent $\sim \mathrm { p } \wedge \sim \mathrm { q }$