Discrete Mathematics with Applications 4th Edition

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

Chapter 3 - The Logic of Quantified Statements - Exercise Set 3.3 - Page 129: 8

Answer

This statement is true because there is a triangle f such that all the circles are above f. Also, triangle i is also a triangle such that all the circles are above i. There exists at least one triangle that satisfies the statement.

Work Step by Step

Recall that if you want to establish the truth of a statement of the form: ∃x∈D such that ∀y∈E, P(x,y), you job is to find one particular x in D that will "work" no matter what y in E anyone might choose to challenge you with.
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