Discrete Mathematics with Applications 4th Edition

Published by Cengage Learning
ISBN 10: 0-49539-132-8
ISBN 13: 978-0-49539-132-6

Chapter 2 - The Logic of Compound Statements - Exercise Set 2.3: 24

Answer

The argument is true by Elimination

Work Step by Step

Let p be the statement that This real number is rational. Let q be the statement that This real number is irrational. This real number is rational or it is irrational (p ∨ q) This real number is not rational (¬p) ∴ This real number is irrational (q) So the argument form is: p ∨ q ¬p ∴ q Which is true by the rule of inference known as $Elimination$
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