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: $x^2 \leq 9.$
Discrete Mathematics with Applications 4th Edition
by Epp, Susanna S.
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
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