1.

Which of the following is logically equivalent to ~[p → (p ∨ ~q)]? (A) p ∨ (~p ∧ q ) (B) p ∧ (~p ∧ q) (C) p ∧ (p ∨ ~q) (D) p ∨ (p ∧ ~q)

Answer»

Correct option: (B) p ∧ (~p ∧ q) 

~[p → (p ∨ ~q)] ≡ p ∧ ~[p ∨ (~q)]

≡ p ∧ (~p ∧ q)



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