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 1.5 - Nested Quantifiers - Exercises - Page 64: 1

Answer

See explanation below.

Work Step by Step

(a) Consider $x$ and $y$ are both real numbers. For every real number $x$ there must exist a real number $y$ such that $x \lt y$. (b) When both real numbers $x$ and $y$ are both non-negative then there product will also be no-negative. (c) Consider $x$ and $y$ are both real numbers. For every real numbers $x$ and $y$ there must exist a real number $z$ such that $xy=z$.
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