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  • I need help with If p→(∼p∨∼q) is false, then the truth values of p and q are respectively :

If p→(∼p∨∼q) is false, then the truth values of p and q are respectively :

  • Option 1)

    F, F

  • Option 2)

    T, F

  • Option 3)

    F, T

  • Option 4)

    T, T

 

Answers (1)

best_answer

As we learned

 

Truth Table -

A table that shows the relationship between truth value of a compound statement.

- wherein

Figure 1

 

 

Truth Table of 'AND' operator -

Figure 1

-

 

 @4739

 

 

p\rightarrow (\sim p\vee \sim q ) is false

p\rightarrow \sim ( p\wedge q ) is false

truth table 

p              q              p\wedge q             \sim (p\wedge q)       p\rightarrow n(p\wedge q)

T               T                     T                             F                      F 

T                F                     F                            T                      T

F                 T                     F                             T                     T

F                 F                     F                             T                      T

SO  both p and q are T

 

       


Option 1)

F, F

This is incorrect

Option 2)

T, F

This is incorrect

Option 3)

F, T

This is incorrect

Option 4)

T, T

This is correct

Posted by

Himanshu

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