Which great god can solve the following absolute inequalities mathematically? You can't copy the answer. Because I can't read the answer.

Solve the inequality | x | x-4 |+| x+2 |>；; eight

Solution: piecewise calculation, there are two nodes, -2 and 4; Let x-4=0 and x+2=0 respectively.

1), when x

-(x-4)-(x+2) > eight

-2x+2 > eight

-2x & gt； six

x & lt-3

Therefore, the solution set of inequality is X.

2) when -2 ≤ x

-(x-4)+(x+2) > eight

No solution;

3), when x≥4, the inequality is

x-4+x+2 & gt； eight

2x-2 > Eight

X> v

Therefore, the solution set of inequality is x>5;

Based on the above, the solution set of inequality is X.