Letter A-C 7. Simplify the following using the algebra of propositions. Show your solutions.α) A=1QV (Ρ^Q] ^ Ρ^ ΡΛΟ)];b) B = {[¬(P A S)V ¬Q] ^ (P V ¬Q) ^ ¬(P A S)}c) C = [¬P → (P → Q)] → [Q → (P → P)]d)X= [(PV -0) Λ(Q V -S) ASΛ (PΛ Q Λ S)]e) X = {S V ¬(¬P ^¬Q) V[(P V Q) A S]}

Solution a: Given A≡¬Q∨(P∧Q∧P∧(P∧Q) We can write it as A≡¬Q∨(P∧Q∧P∧P∧Q Using Idempotent law P∧P=P So…

Answered: 7. Simplify the following using the…

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7. Simplify the following using the algebra of propositions. Show your solutions. a) A = {[QV (P^Q)] ^ [PA (PAQ)]}

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

Chapter2: Parallel Lines

Section2.CT: Test

Problem 3CT: To prove a theorem of the form "If P, then Q" by the indirect method, the first line of the proof...

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Question

Letter A-C

7. Simplify the following using the algebra of propositions. Show your solutions.
α) A=1QV (Ρ^Q] ^ Ρ^ ΡΛΟ)];
b) B = {[¬(P A S)V ¬Q] ^ (P V ¬Q) ^ ¬(P A S)}
c) C = [¬P → (P → Q)] → [Q → (P → P)]
d)X= [(PV -0) Λ(Q V -S) ASΛ (PΛ Q Λ S)]
e) X = {S V ¬(¬P ^¬Q) V[(P V Q) A S]}

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