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JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

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For ∣x−1∣x+2<1,  x\frac{{\left| {x - 1} \right|}}{{x + 2}} < 1,\;x lies in the interval
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Correct option: A
(−∞,  −2)∪(−12,  ∞)\left( { - \infty ,\; - 2} \right) \cup \left( { - \frac{1}{2},\;\infty } \right)
Option A (−∞,  −2)∪(−12,  ∞)\left( { - \infty ,\; - 2} \right) \cup \left( { - \frac{1}{2},\;\infty } \right) is correct because it represents the solution set of the inequality considering both cases when x<1x < 1 and x≥1x \ge 1.

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