Let 2 ^2x+3 x-2>0 and x^2-x-2<0. (x is measured in radians). The x lies in the interval

MHT CET 2024 Mathematics question

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Let and . (x is measured in radians). The x lies in the interval

Answer: (D)

First inequality: . Since always, we need , i.e. . Second inequality: . Now intersect: for , ; since

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Question ID VK-093128