The complete set of values of 'a' for which the inequality is true for all .

MATHEMATICS · Single correct · ISC · Mathematics · Algebra · Algebra

Problem

The complete set of values of 'a' for which the inequality (a−1)x2−(a+1)x+(a−1)≥0(a-1)x^2-(a+1)x+(a-1)\ge 0 is true for all x≥2x\ge 2. (a) (37,1]\left(\frac{3}{7}, 1\right] (b) (−∞,1)(-\infty, 1) (c) (−∞,73]\left(-\infty, \frac{7}{3}\right] (d) [73,∞)\left[\frac{7}{3}, \infty\right)

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