Use DeMorganʹs laws or a truth table to determine whether the two statements are equivalent.
-$$\mathrm { p } \vee \mathrm { q } , \sim ( \sim \mathrm { p } \wedge \sim \mathrm { q } )$$
A) Not equivalent
B) Equivalent

Question

Quizplus · Accepted Answer

The two statements are equivalent because according to DeMorgan's laws, $\sim ( \sim \mathrm { p } \wedge \sim \mathrm { q } )$ simplifies to $\mathrm { p } \vee \mathrm { q }$. This law states that the negation of a conjunction is equivalent to the disjunction of the negations.

Use DeMorganʹs Laws or a Truth Table to Determine Whether p∨q,∼(∼p∧∼q)\mathrm { p } \vee \mathrm { q } , \sim ( \sim \mathrm { p } \wedge \sim \mathrm { q } )p∨q,∼(∼p∧∼q)

Use DeMorganʹs Laws or a Truth Table to Determine Whether $\mathrm { p } \vee \mathrm { q } , \sim ( \sim \mathrm { p } \wedge \sim \mathrm { q } )$