Question:
Which of the following is the negation of the statement "for all $\mathrm{M}>0$, there exists $\mathrm{x} \in \mathrm{S}$ such that $\mathrm{x} \geq \mathrm{M}^{\prime \prime}$ ?
Correct Option: 1
Solution:
$P$ : for all $M>0$, there exists $x \in S$ such that $x \geq M$.
$\sim \mathrm{P}:$ there exists $\mathrm{M}>0$, for all $\mathrm{x} \in \mathrm{S}$
Such that $x Negation of 'there exsits' is 'for all'.
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