The least integral value α of x such that x - 5 x^2 + 5x - 14 > 0, satisfies :

JEE Main 2013 Mathematics question

The least integral value α of x such that , satisfies :

Answer: (4)

. Sign analysis with critical points −7, 2, 5 gives or . The least integer in this set is α = −6 (x = −7 is

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Question ID VK-104135