The value of y for which frac 1 5 y frac 1 5 lt... - JAMB Mathematics 2012 Question
The value of y for which (\frac{1}{5}y + \frac{1}{5} < \frac{1}{2}y + \frac{2}{5}) is
A
\(y > \frac{2}{3}\)
B
\(y < \frac{2}{3}\)
C
\(y > -\frac{2}{3}\)
D
\(y < -\frac{2}{3}\)
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Correct Option: C
(\frac{1}{5}y + \frac{1}{5} < \frac{1}{2}y + \frac{2}{5})
Collect like terms
(\frac{y}{5} - \frac{y}{2} < \frac{2}{5} - \frac{1}{5})
(\frac{2y - 5y}{10} < \frac{2 - 1}{5})
(\frac{-3y}{10} < \frac{1}{5})
(y > \frac{-2}{3})
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