Mathematics · 2021
JEE Main · 27 July 2021, Shift 2 · Q66
Which of the following is the negation of the statement "for all M >0, there exists x ∈ S such that x ≥ M "?
Which of the following is the negation of the statement "for all $\displaystyle \mathrm{M}>0$, there exists $\displaystyle x \in \mathrm{~S}$ such that $\displaystyle x \geqslant \mathrm{M}$" ?
Official answer
(3)
there exists $\displaystyle \mathrm{M}>0$, such that $\displaystyle x<\mathrm{M}$ for all $\displaystyle x \in \mathrm{~S}$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.