If P\Rightarrow (q\vee r)  is false , then the truth values of p,q,r are respectively :

  • Option 1)

    F,T,T

  • Option 2)

    T,F,F

  • Option 3)

    T,T,F

  • Option 4)

    F,F,F

 

Answers (1)

P\Rightarrow (q\vee r) is false 

truth value of p,q,r

\\P \rightarrow (q\vee r)\\\\\:\sim PV(q \vee r)

\\(a)\:\: \sim (F) \vee ( T \vee T )\\\\\:T \vee T =T                      \\(b)\:\: \sim (T) \vee ( F \vee F )\\\\\:T \vee F =F

\\(c)\:\: \sim (T) \vee ( T \vee F )\\\\\:F \vee T =T                       \\(d)\:\: \sim (F) \vee ( F \vee F )\\\\\:T \vee F =T

option =2

 


Option 1)

F,T,T

Option 2)

T,F,F

Option 3)

T,T,F

Option 4)

F,F,F

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