Respuesta :
12x >9(2x-3)-15
distribute
12x> 18x-27-15
combine like terms
12x>18x -42
subtract 18x from each side
12x -18x >18x-18x-42
-6x>-42
divide by -6 which will flip the inequality
-6x/-6<-42/-6
x<7
[tex]12x > 9(2x-3)-15\qquad|\text{use distributive property}\\\\12x > (9)(2x)+(9)(-3)-15\\\\12x > 18x-27-15\qquad|\text{subtract 18x from both sides}\\\\-6x > -42\qquad|\text{change the signs}\\\\6x < 42\qquad|\text{divide both sides by 6}\\\\x < 7[/tex]