Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 1 - Section 1.6 - Rules of Inference - Exercises - Page 80: 30

Answer

Hillary is a good girl or David is happy.

Work Step by Step

p=Allen is a good boy ( note∶the negation ¬ P then means that Allen is a bad boy). q=Hillary is a good girl r= David is happy We can translate the given sentences to mathematical propositions using the above interpretations. 1. p ∨ q premise 2. p ∨ r premise 3. q ∨ r resolution from (1)and (2) statement (3)means Hillary is a good girl or David is happy thus we have derived the conclusion. Result : Hillary is a good girl or David is happy.
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