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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