Browse Questions

# 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>

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.