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 M > 0, there exists x ∈ S such that x ≥ M”?
Option 1 -
There exists M > 0, there exists x ∈ S such that x < M
Option 2 -
There exists M > 0, such that x ≥ M for all x ∈ S
Option 3 -
There exists M > 0, there exists x ∈ S such that x ≥ M
Option 4 -
There exists M > 0, such that x < M for all x S
Asked by Shiksha User
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1 Answer
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Correct Option - 1
Detailed Solution:p: there exist M>0
Such that x≥M for all x∈S
Obviously ~p: M>0 such that x. Negation of 'there exists' is 'for all'.
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