waecmaths question:
Solve the inequality: $-\frac{m}{2}-\frac{5}{4}\le \frac{5m}{12}-\frac{7}{6}$
Option A:
$m\ge \frac{5}{4}$
Option B:
$m\le \frac{5}{4}$
Option C:
$m\ge -\frac{1}{11}$
Option D:
$m\le -\frac{1}{11}$
waecmaths solution:
$\begin{align} & -\frac{m}{2}-\frac{5}{4}\le \frac{5m}{12}-\frac{7}{6} \\ & -\frac{m}{2}-\frac{5m}{12}\le \frac{5}{4}-\frac{7}{6} \\ & \frac{-6m-5m}{12}\le \frac{15-14}{12} \\ & -\frac{11m}{12}\le \frac{1}{12} \\ & m\ge \frac{1}{12}\times \frac{-12}{11} \\ & m\ge \frac{-1}{11} \\\end{align}$
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