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Solve the inequalities for which \(\frac{x+4}{3}-\frac{x-3}{2} < 4\)

Mathematics
JAMB 2006

Solve the inequalities for which \(\frac{x+4}{3}-\frac{x-3}{2} < 4\)

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

\(\frac{x+4}{3}-\frac{x-3}{2}\) < 4
\(\frac{(2(x+4))-(3(x-3))}{6}\) < 4
2(x+4) – 3(x-3) < 4 x 6
2x + 8 – 3x+9 < 24
-x + 17 < 24
-x < 24 – 17
-x < 7
x > -7

There is an explanation video available below.


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Explanation Video

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