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प्रश्न
Using the rule of negation write the negation of the following with justification.
∼ (p ∧ q) ∨ (p ∨ ∼ q)
उत्तर
The negation of ∼ (p ∧ q) ∨ (p ∨ ∼ q) is
∼ [∼ (p ∧ q) ∨ (p ∨ ∼ q)] ≡ ∼ [∼ (p ∧ q)] ∧ ∼ (p ∨ ∼ q) ...(Negation of disjunction)
≡ ∼ [∼ (p ∧ q)] ∧ [∼ p ∧ ∼ (∼ q)] ...(Negation of disjunction)
≡ (p ∧ q) ∧ (∼ p ∧ q) ...(Negation of negation)
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