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The proposition  \sim (p\vee \sim q)\vee \sim (p\vee q)  is logically equivalent to :

  • Option 1)

    p

  • Option 2)

    q

  • Option 3)

    \sim p

  • Option 4)

    \sim q

 

Answers (2)

best_answer

As we learnt in

Truth Table of 'AND' operator -

Figure 1

-

 

 

Truth table of 'OR' operator -

-

 

 

Truth Table of "NOT" operator -

-

 

 

p q \left (p\vee \sim q \right ) \left (p\vee q \right ) \sim \left ( p\vee \sim q \right )\vee \sim \left ( p\vee q \right )
T T T T F
T F T T F
F T F T T
F F T F T

 

it is same as \sim p


Option 1)

p

Incorrect option

Option 2)

q

Incorrect option

Option 3)

\sim p

Correct option

Option 4)

\sim q

Incorrect option

Posted by

Plabita

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Answer-3

Posted by

Pradyuman Ji upadhayay

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