Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 2 - Section 2.1 - Sets - Exercises - Page 126: 42

Answer

Done below.

Work Step by Step

a) There exists a real number $x$ such that $x^3 = -1$. This is true (take $x = -1$). b) There exists an integer $x$ such that $x + 1 > x$. This is true, for any integer. c) For all integers $x$, $x - 1$ is an integer. This is true. d) For all integers $x$, $x^2$ is an integer. This is true.
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