Write the negation of the following statement:
$p:$ For every positive real number $x,$ the number $x-1$ is also positive.
$p:$ For every positive real number $x,$ the number $x-1$ is also positive.
(N/A) The negation of a statement involving the quantifier 'for every' is formed by replacing it with 'there exists' and negating the predicate.
The negation of statement $p$ is:
There exists a positive real number $x$ such that $x-1$ is not positive.
The negation of statement $p$ is:
There exists a positive real number $x$ such that $x-1$ is not positive.
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