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JEE MATHEMATICS MCQ: INCREASING & DECREASING

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The set of all xx for which log⁡(1+x)≤x\log (1+x) \leq x, is
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Correct option: B
(−1,∞)(-1, \infty)
Option B ((−1,∞)(-1, \infty)) is correct because the inequality log⁡(1+x)≤x\log (1+x) \leq x holds for all xx greater than −1-1, which is the domain of the logarithm.

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