Which is the negation of the following statement? There exists n E Z such that n2 ≥ 36. A. For every n E Z, n2 ≥ 36. B. For every n E Z, n2 < 36. C. There exists n2 ≥ 36 such that n E Z. D. For every n2 < 36, n E Z. E. There exists n E Z such that n2 < 36.

Which is the negation of the following statement? There exists n E Z such that n2 ≥ 36. A. For every n E Z, n2 ≥ 36. B. For every n E Z, n2 < 36. C. There exists n2 ≥ 36 such that n E Z. D. For every n2 < 36, n E Z. E. There exists n E Z such that n2 < 36.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Which is the negation of the following statement?
There exists n E Z such that n² ≥ 36.

A. For every n E Z, n²≥ 36.
B. For every n E Z, n²< 36.
C. There exists n²≥ 36 such that n E Z.
D. For every n² < 36, n E Z.
E. There exists n E Z such that n² < 36.

Expert Solution

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There exists $n \in ℤ$ such that $n^{2} \geq 36$ .

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