Answer to Question #308958 in Discrete Mathematics for Zain

Question

Show that the following pair of statements are logically equivalent with proper explanation:

1. ∀x (P(x) ∧ Q(x)) and ∀x P(x) ∧ ∀x Q(x)

2. ¬ (∀x P(x)) and ∃x ¬P(x)

3. ¬ (∃x P(x)) and ∀x ¬P(x)

Answer 1

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