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\(\frac{1}{4}\)

Correct Answer: D. x < 2\(\frac{1}{4}\)

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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