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: 5


The statement says that no matter what circle anyone might give you, you can find a square of the same color. This is true because the only circles are a, c, and b, and given a or c, which are blue, square j is also blue, and given b, which is gray, squares g and h are also gray.

Work Step by Step

Recall if you want to establish the truth of a statement of the form: $\forall x \in D, \exists y$ such that P(x,y), your challenge is to allow someone else to pick whatever element x in D they wish and then you must find an element y in E that "works for that particular x.
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