[tex]6m-2(7+3m) > 5(2m-3)-m\ \ \ |\text{use distributive property}\\\\6m+(-2)(7)+(-2)(3m) > (5)(2m)+(5)(-3)-m\\\\6m-14-6m > 10m-15-m\ \ \ \ |\text{use commutative property}\\\\6m-6m-14 > 10m-m-15\\\\-14 > 9m-15\ \ \ \ |\text{add 15 to both sides}\\\\1 > 9m\ \ \ \ |\text{divide both sides by 9}\\\\\dfrac{1}{9} > m\to m < \dfrac{1}{9}\to\boxed{B.\ \left\{m|m < \dfrac{1}{9}\right\}}[/tex]
