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Write the Negation of the Statement: R : There Exists a Number X Such that 0 < X < 1. - Mathematics

Write the negation of the statement:

r : There exists a number x such that 0 < x < 1.

 
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Solution

 r: There exists a number x such that 0 < x < 1.
   ~r: For every real number x, either  \[x \leq 0\] or \[x < 1\] .

 

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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 31 Mathematical reasoning
Exercise 31.2 | Q 4.3 | Page 7
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