linear inequalities

6x/5*5<=2x/9*5 +8*5
6x<=10x/9 + 40
6x-10x/9 < 40
now what???

use a common den of 9?

6x/5 < 2x/9 + 8
6x/5 < 2x/9 + 9*8/9
6x/5 < (2x+72)/9 |*9
9*6x/5 < 2x + 72
54x/5 < 2x + 72 | -2x
54x/5- 2x < 72
54x/5 - 10x/5 < 72
(54x-10x)/5 < 72
44x/5 < 72 | *5
44x < 72*5
44x < 72*5 | /44
x < 72*5/44
x < 90/11