6|4−3d|−2|d+5| > 9
We have two equations to solve
abs ( 24 - 18d) - abs ( 2d + 10) > 9
We can write
24 - 18d - ( 2d + 10) > 9 18d - 24 - ( 2d + 10) > 9
14 - 20d > 9 16d - 34 > 9
-20d > 9 - 14 16d > 43
-20 d > -5 d > 43/16
d < -5/-20
d < 1/4
So....the solution set is
(-inf , 1/4) U (43/16, inf)