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

Question

Quizplus · Accepted Answer

For $\mathrm { p } \vee \mathrm { q }$ to be false, both $\mathrm { p }$ and $\mathrm { q }$ must be false, because the OR operation ($\vee$) only results in false when both operands are false.

Solve the Problem p∨q\mathrm { p } \vee \mathrm { q }p∨q

Solve the Problem $\mathrm { p } \vee \mathrm { q }$