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Find the values of x for which \(\frac {x+2}{4}\) - \(\frac{2x - 3}{3}\) < 4

Mathematics
JAMB 2018

Find the values of x for which

\(\frac {x+2}{4}\) - \(\frac{2x - 3}{3}\) < 4

  • A. x < 8
  • B. x > -6
  • C. x < 4
  • D. x > -3
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Correct Answer: Option B
Explanation

\(\frac {x+2}{4}\) - \(\frac{2x - 3}{3} < 4\)

\(\frac{3(x + 2) - 4(2x - 3)}{12} < 4\)

\(3x + 6 - 8x + 12 < 48 \)

\(18 - 5x < 48 \implies -5x < 30\)

\(\therefore x > -6\)

There is an explanation video available below.


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Explanation Video

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