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Write the Negation of the Statement: Q : for Every Real Number X, Either X > 1 Or X < 1.

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Question

Write the negation of the statement:

q : For every real number x, either x > 1 or x < 1.

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Solution

 q: For every real number x, either x > 1 or x < 1.
 ~q: At least for one real number x, neither \[x > 1\]  nor \[x < 1\]

 

 

 

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Chapter 31: Mathematical reasoning - Exercise 31.2 [Page 7]

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R.D. Sharma Mathematics [English] Class 11
Chapter 31 Mathematical reasoning
Exercise 31.2 | Q 4.2 | Page 7

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