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Solve: - \(\frac{1}{4}\) < \(\frac{3}{4}\) (3x - 2) < \(\frac{1}{2}\)

Mathematics
WAEC 2017

Solve: - \(\frac{1}{4}\) < \(\frac{3}{4}\) (3x - 2) < \(\frac{1}{2}\)

  • A. -\(\frac{5}{9}\) < x <\(\frac{8}{9}\)
  • B. -\(\frac{8}{9}\) < x <\(\frac{7}{9}\)
  • C. -\(\frac{8}{9}\) < x <\(\frac{5}{9}\)
  • D. -\(\frac{7}{9}\) < x <\(\frac{8}{9}\)
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Correct Answer: Option A
Explanation

\(\frac{3}{4}\) (3x - 2) < \(\frac{1}{2}\); \(\frac{3}{4}\) (3x - 2) > - \(\frac{1}{4}\)

3(3x - 2) < 2; 3(3x - 2) > -1

9x - 6 < 2; 9x - 6 > -1

9x < 8; 9x > 5

x < \(\frac{5}{9}\); x > \(\frac{8}{9}\)


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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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