Question bank/JEE Main/Mathematics

JEE MainMathematicsEasyInequalities and absolute value

The number of integers satisfying the inequality
(x−1)(x−2)(x−3)(x+1)(x+2)(x+3)≤0\frac{(x - 1)(x - 2)(x - 3)}{(x + 1)(x + 2)(x + 3)} \leq 0 is

Show answer and solution
(x−1)(n−2)(2n−3)(x+1)(n+2)(x+3)≤0\frac{(x - 1)(n - 2)(2n - 3)}{(x + 1)(n + 2)(x + 3)} \leq 0
Critical point: x = 1, 2, 3, -1, -2, -3

∴\therefore Integer values of x =x\ = 0, 1, 2,

Source: Grass-G / M-05 Mathematics Paper 10 October.docx

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