When using a truth table, the statement $\sim \mathrm { p } \vee \sim \mathrm { q }$ is equivalent to $\sim ( \mathrm { p } \wedge \mathrm { q } )$ .

Name: When using a truth table, the statement $\sim \mathrm { p } \vee \sim \mathrm { q }$ is equivalent to $\sim ( \mathrm { p } \wedge \mathrm { q } )$.
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Question

When using a truth table, the statement $\sim \mathrm { p } \vee \sim \mathrm { q }$ is equivalent to $\sim ( \mathrm { p } \wedge \mathrm { q } )$.

Quizplus · Accepted Answer

This equivalence is known as De Morgan's Law, which states that the negation of a conjunction is logically equivalent to the disjunction of the negations.

When Using a Truth Table, the Statement ∼p∨∼q\sim \mathrm { p } \vee \sim \mathrm { q }∼p∨∼q

When Using a Truth Table, the Statement $\sim \mathrm { p } \vee \sim \mathrm { q }$