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: 2

Answer

See explanation below.

Work Step by Step

(a) Consider $x$ and $y$ are two real numbers. For every real number $x$ there must exist a real number $y$ such that the product $x \cdot y=y$. (b) When real number $x$ is non-negative and real number $y$ is negative then their difference $x-y$ will be positive. (c) Consider $x$ and $y$ are two real numbers. For every real numbers $x$ and $y$ there must exist a real number $z$ such that sum of $y+z=x$.
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