For statements $p$ and $q$,which of the following is true?

• A
  $p \wedge q$ is true when at least one of $p$ or $q$ is true.
• B
  $p \rightarrow q$ is true when $p$ is true and $q$ is false.
• C
  $p \Leftrightarrow q$ is true only when both $p$ and $q$ are true.
• D
  $\sim (p \vee q)$ is true only when both $p$ and $q$ are false.