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Write the negation of the statement " For every real number $x$, either $x$ is >1 or <1."

$\begin{array}{1 1} \text{There exist no real number $x$ such that $x$ is neither >1 nor <1.} \\\text{ Every real number is neither >1 nor <1.} \\ \text{No real number is neither >1 nor <1.} \\\text{There exist a real number x such that x is neither >1 nor <1.} \end{array} $</span>

1 Answer

The given statement is
" For every real number $x$, either $x$ is >1 or <1."
The negation of this statement is
There exist a real number $x$ such that $x$ is neither >1 nor <1.
answered Aug 4, 2014 by rvidyagovindarajan_1
 

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