1. The problem involves solving the inequality $$2 \leq |x| - |x| + 5 \geq$$ but the expression is incomplete and unclear. 2. Since the inequalities are incomplete, we cannot determine the exact problem or solve it. 3. To solve inequalities involving absolute values, the general approach is: - Recall that $$|x| \geq 0$$ for all real $$x$$. - Break the inequality into cases based on the definition of absolute value: $$|x| = \begin{cases} x & \text{if } x \geq 0 \\ -x & \text{if } x < 0 \end{cases}$$ 4. Without a complete inequality, no further steps can be taken. Please provide the full inequality for a complete solution.