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

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Question

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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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 4.3 | Page 7

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