Answered: 1. For the following, show that KB does… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter1: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 55RE

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Question

1. For the following, show that KB does not entail a:
a) KB = {(pVr) =¬q,¬r= q}; a = (p=r)
b) KB = {p →q, ~(s^p)}; a= (sa q)

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Use substitution method to prove step-by-step that (PAQ)^(P = ¬(Q^R))^(S = R) = ¬S.
Show that (p → q) ^ ¬g = -(p V q) Clearly indicate which rule was applied at each step.
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E. On the right: a. r*ak + r*(-ak) = r*(ak + (-ak)) b. r*(ak + (-ak)) = r*0 c. r*0 = 0 F. So, r*(aj + (-ak)) = 0 G. Then, (aj + (-ak)) = 0 H. Then, (aj + (-ak)) + ak = 0 + ak II. On the left: (aj + (-ak)) + ak = aj + ((-ak) + ak) aj + ((-ak) + ak) = aj + 0 aj + 0 = aj On the right: 0 + ak = ak
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