Which of the following is a valid equivalency for ¬(p A q) according to thelaws of propositional logic?O -(pAq) = -p^qO -(p A q) = pA -gO -(p A q) = p V ¬qO -(pA q) = p V q

Name: Which of the following is a valid equivalency for ¬(p A q) according
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Description: Which of the following is a valid equivalency for ¬(p A q) according to thelaws of propositional logic?O -(pAq) = -p^qO -(p A q) = pA -gO -(p A q) = p V ¬qO -(pA q) = p V q

We know Demorgon's Law ¬(p∨q)≡¬p∧¬q and ¬(p∧q)≡¬p∨¬q Hence for the given questions ¬(p∧q)≡¬p∨¬q

Answered: Which of the following is a valid…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 10CT: Statement P and Q are true while R is a false statement. Classify as true or false:...

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Which of the following is a valid equivalency for ¬(p A q) according to the
laws of propositional logic?
O -(pAq) = -p^q
O -(p A q) = pA -g
O -(p A q) = p V ¬q
O -(pA q) = p V q

Expert Solution

Step 1 Demorgan's Law

We know Demorgon's Law

$\neg (p \lor q) \equiv \neg p \land \neg q a n d \neg (p \land q) \equiv \neg p \lor \neg q$

Hence for the given questions

$\neg (p \land q) \equiv \neg p \lor \neg q$

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