Question 14

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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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