Question 18

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Jambmaths question: 

Evaluate the inequality $\frac{x}{2}+\frac{3}{4}\le \frac{5x}{6}-\frac{7}{12}$

Option A: 

$x\le 3$

Option B: 

$x\ge -3$

Option C: 

$x\le -4$

Option D: 

$x\ge 4$

Jamb Maths Solution: 

$\begin{align}  & \frac{x}{2}+\frac{3}{4}\le \frac{5x}{6}-\frac{7}{12} \\ & \frac{x}{2}-\frac{5x}{6}\le -\frac{7}{12}-\frac{3}{4} \\ & \frac{3x-5x}{6}\le \frac{-9-7}{12} \\ & \frac{-2x}{6}\le -\frac{16}{12} \\ & \frac{-x}{3}\le -\frac{4}{3} \\ & x\ge 4 \\\end{align}$

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