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  • Help me understand! - The expression is logically equivalent to : - Mathematical reasoning - JEE Main

The expression \sim \left ( \sim p\rightarrow q\right ) is logically equivalent to : 

  • Option 1)

     

    p\wedge q

     

     

     

  • Option 2)

     

    \sim p\wedge q

  • Option 3)

     

    p\wedge\sim q

  • Option 4)

     

    \sim p\wedge\sim q

Answers (1)

best_answer

 

Truth Table of "NOT" operator -

-

 

Truth Table of "if-then" -

Figure 4

-

 

\sim \left ( \sim p\rightarrow q \right )=\sim p\: \wedge \sim q

 

 


Option 1)

 

p\wedge q

 

 

 

Option 2)

 

\sim p\wedge q

Option 3)

 

p\wedge\sim q

Option 4)

 

\sim p\wedge\sim q
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