MHT CET 2025 Mathematics question

Not in JEE syllabus

Which of the following is the negation of the statement "For all M > 0, there exist x s such that x M"

(A) such that for all
(B) such that
(C) such that for all Correct
(D), there exist such that

Answer: (C)

Solution

The statement has the form . The negation of is , the negation of is , and the negation of the predicate is . So the negation is: such that (i.e. S is bounded above),

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Question ID VK-102585