Which of the following is the correct next step using laws of propositional logic? -(p V (-pAq)) Ar =-pAqAr O -(p V (-pAg)) ^ r = -((p V -p) ^ (p V q)) A r = -(FA (p V q)) ^ r O -(p V (-p A q)) ^r =-((p V -p) ^ (p V q)) A r = -((TA (p V q)) ^ r

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 26E
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Which of the following is the correct next step using laws of propositional
logic?
-(p V (-p ^q))Ar=-p^q^r
O -(p V (-p A g) ^r = ¬((p V -p) ^ (p V q)) Ar
= -(FA (p V q)) ^ r
O -(p V (-pA g)) ^r =-((p V -p) A (p V q)) Ar
=-((T A (p V q)) ^ r
o -(p V (-p A q)) ^ r = -((p V -p) ^ (p V q)) ^ r
= (¬(p V -p) A¬p V q)) ^ r
O -(p V (-pAq)) Ar=-((pV-p) A (p V q)) Ar
= (¬(p V -p) V -(p V q)) V ¬r
Transcribed Image Text:Which of the following is the correct next step using laws of propositional logic? -(p V (-p ^q))Ar=-p^q^r O -(p V (-p A g) ^r = ¬((p V -p) ^ (p V q)) Ar = -(FA (p V q)) ^ r O -(p V (-pA g)) ^r =-((p V -p) A (p V q)) Ar =-((T A (p V q)) ^ r o -(p V (-p A q)) ^ r = -((p V -p) ^ (p V q)) ^ r = (¬(p V -p) A¬p V q)) ^ r O -(p V (-pAq)) Ar=-((pV-p) A (p V q)) Ar = (¬(p V -p) V -(p V q)) V ¬r
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