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# Write the negation of the statement " There exists a number $x$ such that 0<$x$<1."

$\begin{array}{1 1} \text{All real numbers are either greater that 1 and less than 0. }\\\text{ No real numbers lie in the interval (0,1)} \\\text{There exists no real number$x$such that 0<$x$<1.} \\ \text{There exist no real number$x$such that$x$>1 and$x$<0.}\end{array}$</span>

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## 1 Answer

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The given statement is
"There exists a number $x$ such that 0<$x$<1."
The negation of this statement is
There exists no real number $x$ such that 0<$x$<1.
answered Aug 4, 2014

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