Question

6m - 2(7 + 3m) > 5(2m-3) - m

A. m
B. m < 1/9
C. m
D. m

Answer 1

`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}\\\\(1)/(9) > m\to m < (1)/(9)\to\boxed{B.\ \left\m}`