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})
Correct Answer: Option C
Explanation
(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})