Question 16

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Jambmaths question: 

The value of y for which $\frac{1}{5}y+\frac{1}{5}<\frac{1}{2}y+\frac{2}{5}$is

Option A: 

$y>\tfrac{2}{3}$

Option B: 

$y<\tfrac{2}{3}$

Option C: 

$y>\frac{-2}{3}$

Option D: 

$y<\frac{-2}{3}$

Jamb Maths Solution: 

$\begin{align}  & \frac{1}{5}y+\frac{1}{5}<\frac{1}{2}y+\frac{2}{5} \\ & \text{Collect the like terms} \\ & \frac{1}{5}y-\frac{1}{2}y<\frac{2}{5}-\frac{1}{5} \\ & \frac{2-5}{10}y<\frac{1}{5} \\ & -\frac{3}{10}y<\frac{1}{5} \\ & y>-\frac{10}{3}\times \frac{1}{5} \\ & y>-\frac{2}{3} \\\end{align}$

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