Write the negation of the following statement:
$p:$ For every real number $x, x^{2} > x.$
$p:$ For every real number $x, x^{2} > x.$
(N/A) The negation of a statement involving the quantifier 'for every' is formed by replacing it with 'there exists' and negating the condition.
The negation of $p$ is:
$\sim p:$ There exists a real number $x$ such that $x^{2} \leq x.$
The negation of $p$ is:
$\sim p:$ There exists a real number $x$ such that $x^{2} \leq x.$
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