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Identify the quantifiers and write the negation of the following statements:For all even integers x, x2 is also even. - Mathematics

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Question

Identify the quantifiers and write the negation of the following statements:
For all even integers x, x2 is also even.

Sum
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Solution

The quantifier is “for all” and the negation is

“There exists an even integer x such that x2 is not even”

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Chapter 14: Mathematical Reasoning - Solved Examples [Page 259]

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NCERT Exemplar Mathematics [English] Class 11
Chapter 14 Mathematical Reasoning
Solved Examples | Q 13.(ii) | Page 259

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