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QJEEM21Ma1f37: JEE Main 2021 Mathematics - Class 11 JEEM21Ma1f37 Solution: Which of the following is the negation of the statement "for…
Which of the following is the negation of the statement "for all M > 0, there exists x S such that x M" ?
Multiple Choice Options
- A there exists M > 0, such that x < M for all x∈S
- B there exists M > 0, there exists x∈S such that x ≥ M
- C there exists M > 0, there exists x∈S such that x < M
- D there exists M > 0, such that x ≥ M for all x∈S
Step-by-Step Verified Solution
P : for all M > 0, there exists x S such that x M.
P : there exists M > 0, for all x S
Such that x < M
Negation of 'there exists' is 'for all'.
Such that x < M
Negation of 'there exists' is 'for all'.