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Solve the inequality: \(\frac{2x - 5}{2} < (2 - x)\)

Mathematics
WAEC 2013
Solve the inequality: \(\frac{2x - 5}{2} < (2 - x)\)
  • A. x > 0
  • B. x < \(\frac{1}{4}\)
  • C. x > 2\(\frac{1}{2}\)
  • D. x < 2\(\frac{1}{4}\)
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Correct Answer: Option D
Explanation
\(\frac{2x - 5}{2} < \frac{(2 - x)}{1}\)

2x - 5 < 4 - 2x

2x + 2x < 4 + 5

4x < 9

x < \(\frac{9}{4}\)

x < 2\(\frac{1}{4}\)
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