Answer:
C
Step-by-step explanation:
Given
[tex]\frac{-m}{2}[/tex] - [tex]\frac{5}{4}[/tex] ≤ [tex]\frac{5m}{12}[/tex] - [tex]\frac{7}{6}[/tex]
Multiply through by 12 to clear the fractions
- 6m - 15 ≤ 5m - 14 ( subtract 5m from both sides )
- 11m - 15 ≤ - 14 ( add 15 to both sides )
- 11m ≤ 1
Divide both sides by - 11, reversing the symbol as a result of dividing by a negative quantity
m ≥ - [tex]\frac{1}{11}[/tex] → C
