Which of the following is the negation of the statement "for all $M\,>\,0$, there exists $x \in S$ such that $\mathrm{x} \geq \mathrm{M}^{\prime \prime} ?$
Which of the following is the negation of the statement "for all $M\,>\,0$, there exists $x \in S$ such that $\mathrm{x} \geq \mathrm{M}^{\prime \prime} ?$
- [JEE MAIN 2021]
- A
there exists $M\,>\,0$, such that $x \geq M$ for all $x \in S$
- B
there exists $M\,>\,0$, there exists $x \in S$ such that $x \geq M$
- C
there exists $M\,>\,0$, such that $x < M$ for all $x \in S$
- D
there exists $M\,>\,0$, there exists $x \in S$ such that $x < M $
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