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Find the range of values of x which satisfy the inequality \(\frac{x}{2}\) + \(\frac{x}{3}\) +...

Mathematics
JAMB 1991

Find the range of values of x which satisfy the inequality \(\frac{x}{2}\) + \(\frac{x}{3}\) + \(\frac{x}{4}\) < 1
  • A. x < \(\frac{12}{13}\)
  • B. x < 13
  • C. x < 9
  • D. \(\frac{13}{12}\)
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Correct Answer: Option A
Explanation
\(\frac{x}{2}\) + \(\frac{x}{3}\) + \(\frac{x}{4}\)< 1

= \(\frac{6x + 4x + 3x < 12}{12}\)

i.e. 13 x < 12 = x < \(\frac{12}{13}\)

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