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JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

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The solution set of the inequation ∣2x−1x−1∣>2,\left| {\frac{{2x - 1}}{{x - 1}}} \right| > 2, is
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Correct option: A
(3/4  ,1)∪(1,∞)\left( {3/4\;,1} \right) \cup \left( {1,\infty } \right)
Option A (3/4  ,1)∪(1,∞)\left( {3/4\;,1} \right) \cup \left( {1,\infty } \right) is the correct solution set obtained by solving the inequality by considering both positive and negative cases of the absolute value.

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