Hey everyone, I am in a discrete math course, and I was reading pre-reading the textbook (Discrete Mathematics with Applied Applications by Epp 4th Ed.), but didn't understand their example, I don't understand, specifically, the distributive portion. I don't see how they distributed it like that, if someone could expound on it, it'd be great.(adsbygoogle = window.adsbygoogle || []).push({});

Verify ~(~p ∧ q) ∧ (p ∨ q) ≡ p

~(~p ∧ q ) ∧ (p ∨ q) ≡ (~(~p) ∨ ~q) ∧ (p∨q) De Morgan's Laws

≡(p ∨ ~q) ∧ (p ∨ q) Double Negative Law

≡p ∨ (~q ∧ q) Distributive Law(the part I don't understand)

≡ p ∨ ℂ Negation Law

≡ p Identity Law

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# I Using Logical Equivalences to Simplify a Statement

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