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Let f :  2, 4  → R be a differentiable function such that (x log e x)f  (x) + (log e x)f (x) + f (x)  1, x  [2, 4] with f

1. = 2 1 and f
2. = 2 1 . Consider the following two statements : (A) f (x)  1, for all x  [2, 4] (B) f x  8 1 , for all x  [2, 4] Then,
3. Neither statement (A) nor statement (B) is true
4. Only statement (B) is true (3) Both the statements (A) and (B) are true (4) Only statement (A) is true

Correct answer: Neither statement (A) nor statement (B) is true

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