If the truth value of the statement p\rightarrow \left ( \sim q\vee r \right ) is false (F), then the truth values of the statements p, q, r are respectively : 

  • Option 1)

    F,T,T

  • Option 2)

    T,F,F

  • Option 3)

    T,T,F

  • Option 4)

    T,F,T

 

Answers (1)

p\rightarrow \left ( \sim q\vee r \right )

\sim p\vee \left ( \sim q\vee r \right )

\left.\begin{matrix} \sim p &\rightarrow F \\ \sim q&\rightarrow F \\ r & \rightarrow T \end{matrix}\right\}\Rightarrow \begin{matrix} p\rightarrow T\\q\rightarrow T \\ r\rightarrow F \end{matrix}


Option 1)

F,T,T

Option 2)

T,F,F

Option 3)

T,T,F

Option 4)

T,F,T

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