Let p and q be two statements. Then ~ ( p ∧ ( p → ~ q ) is equivalent to

Question

Let p and q be two statements. Then ~ ( p ∧ ( p → ~ q ) is equivalent to, p ∨ ( p ∧ ( ~ q ) ), p ∨ ( ( ~ p ) ∧ q ), ~ p ∨ q, p ∨ ( p ∧ q )

MARKS App · Accepted Answer

Given, ~ ( p ∧ ( p → ~ q ) ≡ ~ p ∨ ~ ( ~ p ∨ ~ q ) as A → B ≡ ~ A ∨ B ≡ ~ p ∨ ( p ∧ q ) as ~ A ∨ B ≡ ~ A ∧ ~ B ≡ ( ~ p ∨ p ) ∧ ( ~ p ∨ q ) ≡ t ∧ ( ~ p ∨ q ) ≡ ~ p ∨ q ≡ ( ~ p ) ∨ q

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