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: 9

Answer

There exist a real number $x \gt 3$ such that $x^2 \leq 9.$

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 : $x^2 \gt 9.$, So, ~q: $x^2 \leq 9.$
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