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

Multiple Choice

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