Checkout JEE MAINS 2022 Question Paper Analysis : Checkout JEE MAINS 2022 Question Paper Analysis :

~ (p ⇒ q) ⇔ ~ p ˅ ~ q is

1) A tautology

2) A contradiction

3) Neither a tautology nor a contradiction

4) Cannot come to any conclusion

Solution: (3) Neither a tautology nor a contradiction

p

q

p ⇒ q

~ (p ⇒ q)

~ p

~ q

~ p ˅ ~ q

~ (p ⇒ q) ⇔ (~ p ˅ ~ q)

T

T

T

F

F

F

F

T

T

F

F

T

F

T

T

T

F

T

T

F

T

F

T

F

F

F

T

F

T

T

T

F

The last column shows that the result is neither a tautology nor a contradiction.

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