Solve the inequality frac -m 2 - frac 5 4 geq f... - WAEC Mathematics 2012 Question
Solve the inequality: (\frac{-m}{2} - \frac{5}{4} \geq \frac{5m}{12} - \frac{7}{6})
A
m \(\leq \frac{5}{4}\)
B
m \(\geq \frac{5}{4}\)
C
m \(\leq - \frac{1}{11}\)
D
m \(\geq - \frac{1}{11}\)
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Correct Option: C
(\frac{-m}{2} - \frac{5}{4} \geq \frac{5m}{12} - \frac{7}{6})
= (\frac{-2m - 5}{4} \geq \frac{5m - 14}{12})
12(-2m - 5) (\geq) 4(5m - 14)
-24m - 60 (\geq) 20m - 56
-24m - 20m (\geq) -56 + 60
44m (\geq) 4
m (\leq \frac{4}{-44})
m (\leq \frac{-1}{11})
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