Solve the problem.
-Given that $\sim ( p \wedge q )$ is true, what can you conclude about the truth values of $p$ and $q$ ?
A) Both $p$ and $q$ are true
B) At least one of $p$ and $q$ is false
C) Exactly one of $\mathrm { p }$ and $\mathrm { q }$ is true
D) Both $p$ and $q$ are false

Question

Quizplus · Accepted Answer

The statement $\sim ( p \wedge q )$ means "not (p and q)," which is true only if at least one of $p$ or $q$ is false, since $p \wedge q$ requires both $p$ and $q$ to be true to be true itself.

Solve the Problem ∼(p∧q)\sim ( p \wedge q )∼(p∧q) Is True, What Can You Conclude About the Truth Values

Solve the Problem $\sim ( p \wedge q )$ Is True, What Can You Conclude About the Truth Values