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Show that ¬ (p ∧ q) ≡ ((¬ p) ∨ q)

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Show that ¬ (p ∧ q) ≡ ((¬ p) ∨ q) 

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(i) Truth table for ¬ (p ∧ q) 

(ii) Truth table for ((¬ p) ∨ q)

The last columns of statements (i) and (ii) are identical.

So ¬ (p ∧ q) ≡ ((¬ p) ∨ q) 

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