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Find the value of x satisfying \(\frac{x}{2}\) - \(\frac{1}{3}\) < \(\frac{2x}{5}\) + \(\frac{1}{6}\)

Mathematics
JAMB 1981

Find the value of x satisfying \(\frac{x}{2}\) - \(\frac{1}{3}\) < \(\frac{2x}{5}\) + \(\frac{1}{6}\)

  • A. x < 5
  • B. x < 7\(\frac{1}{2}\)
  • C. x > 5
  • D. x > 7\(\frac{1}{2}\)
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Correct Answer: Option A
Explanation

\(\frac{x}{2} - \frac{1}{3} < \frac{2x}{5} + \frac{1}{6}\)

\(\frac{x}{2} - \frac{2x}{5} < \frac{1}{6} + \frac{1}{3}\)

\(\frac{x}{10} < \frac{1}{2}\)

\(2x < 10 \implies x < 5\)


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