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Write the Negation of the Statement: P : for Every Positive Real Number X, the Number (X − 1) is Also Positive. - Mathematics

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Question

Write the negation of the statement:

 p : For every positive real number x, the number (x − 1) is also positive.

 

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Solution

 ​p: For every positive real number x, the number (x − 1) is also positive.
 ~p: At least for one positive real number x, the number

\[(x - 1)\]  is not positive.

 

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

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RD Sharma Mathematics [English] Class 11
Chapter 31 Mathematical reasoning
Exercise 31.2 | Q 4.1 | Page 7

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