# 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.

#### 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