JAMB - Mathematics (2002 - No. 15)

Find the range of values of x for which \(\frac{(x+2)}{4}\) -\(\frac{2x-3}{3}\) < 4
x > -6
x > -3
x < 8
x < 4

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 < 48 - 18

-5x < 30 \(\implies \)x > - 6

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