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GATE 2022 MT – Question 7

General Aptitude · Quantitative Aptitude: Algebra, Geometry and Mensuration · 2 marks · Multiple choice

Which expression satisfies both inequalities $2x-1>7$ and $2x-9<1$?

  1. $x\le-4$
  2. $-4<x\le4$
  3. $4<x<5$
  4. $x\ge5$

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Correct answer: (C) $4<x<5$

Explanation

The inequalities give $2x>8$ and $2x<10$. Their intersection is $4<x<5$, **C**; both endpoints are excluded.