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Question
If p ∨ q is true, then the truth value of ∼ p ∧ ∼ q is ______.
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Solution
If p ∨ q is true, then the truth value of ∼ p ∧ ∼ q is False.
Explanation:
⇒ ∼ (p ∨ q) = ∼ p ∧ ∼ q ......[By D'Morgan's law]
∴ ∼ p ∧ ∼ q = ∼ (p ∨ q)
= ∼ (T) = F.
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