If $p$ and $q$ are simple propositions, then $p \Rightarrow q$ is false when

  • A

    $p$ is true and $q$ is true

  • B

    $p$ is false and $q$ is true

  • C

    $p$ is true and $q$ is false

  • D

    Both $p$ and $q$ are false

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If $p$ and $q$ are simple propositions, then $p \Leftrightarrow \sim \,q$ is true when