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 3.2 - Page 116: 16

Answer

There exists a real number x such that $x^2\geq 1$ and $x \leq0$.

Work Step by Step

Negation of the statements of the form, "For all x, q", q being a statement, is "There exists x, ~q". In this case, q : $x \gt0$. , So, ~q: $x \leq0$. .
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