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If \(\frac{y-3}{2}<\frac{2y-1}{3}\), which of the following is true?

Mathematics
WAEC 2001

If \(\frac{y-3}{2}<\frac{2y-1}{3}\), which of the following is true?

  • A. y > 7
  • B. y < -7
  • C. y > -7
  • D. y < 7
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Correct Answer: Option C
Explanation

\(\frac{y - 3}{2} < \frac{2y - 1}{3}\)

\(3(y - 3) < 2(2y - 1)\)

\(3y - 9 < 4y - 2\)

\(3y - 4y < -2 + 9\)

\(-y < 7\)

\(y > -7\)


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