Final answer:
The question likely involves solving an inequality with absolute values and possibly a quadratic equation. The problem should be split into two cases based on the value inside the absolute valuess. Quadratic equations can be solved by completing the square or applying the quadratic formula.
Step-by-step explanation:
The student appears to be asking for assistance with solving an inequality that involves absolute values and possibly quadratic equations. Without the complete inequality provided, we cannot solve it directly here. However, we can discuss the general approach. To solve an inequality involving an absolute value, such as |4-(4-x)|, you would typically split the problem into two cases: one where the expression inside the absolute value is non-negative, and one where it is negative. Each case results in a separate inequality to solve. Similar to the provided examples, quadratic equations may arise after splitting the problem, which can usually be solved by simplification, completing the square, or applying the quadratic formula, given by x = (-b ± √(b² - 4ac)) / (2a) where a, b, and c are coefficients of the quadratic expression in the form ax² + bx + c = 0.