If A = 1, 2, 3, 4, 5 then which of the following statements is not true?

MHT CET 2026 Mathematics question

If then which of the following statements is not true?

(A), such that
(B), such that
(C), Correct
(D), such that

Answer: (C)

Solution

Test each statement on . (A) holds for (and for every ), so it is true. (B) gives , so it is true. (C) A universal statement needs the condition for every element: means , but for we get , which is false, so (C) is not

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Question ID VK-096265