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GATE 2022 ST – Question 7

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

Find the simultaneous solution of 2x−1>7 and 2x−9<1.

  1. x≤−4
  2. −4<x≤4
  3. 4<x<5
  4. x≥5

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Correct answer: (C) 4<x<5

Explanation

The first inequality gives 2x>8,so x>4. The second gives 2x<10,so x<5. Their intersection is **4<x<5, C**.

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