Firstly, simplify the expressions inside the brackets:
[X+7-4 [x+3]] = X+7-4x-12 = -3x-5
[x+19-8 [x+3]] = x+19-8x-24 = -7x-5
Now substitute the simplified expressions back into the original inequality:
(-3x-5) + (-7x-5) > 6
-3x - 5 - 7x - 5 > 6
-10x - 10 > 6
-10x > 16
x < -1.6
Therefore, the solution to the inequality is x < -1.6.
Firstly, simplify the expressions inside the brackets:
[X+7-4 [x+3]] = X+7-4x-12 = -3x-5
[x+19-8 [x+3]] = x+19-8x-24 = -7x-5
Now substitute the simplified expressions back into the original inequality:
(-3x-5) + (-7x-5) > 6
-3x - 5 - 7x - 5 > 6
-10x - 10 > 6
-10x > 16
x < -1.6
Therefore, the solution to the inequality is x < -1.6.