Answer: x <= -70 or x >= 22.
Explanation:
The solution to the inequality is x <= -70 or x >= 22. To solve the inequality, we can begin by isolating the absolute value term. |1/5x + 2| + 4 >= 6 |1/5x + 2| >= 2 Next, we can split the inequality into two cases: 1/5x + 2 >= 2 or 1/5x + 2 <= -2 Solving for the first case: 1/5x + 2 >= 2 1/5x >= 0 x >= 0 Solving for the second case: 1/5x + 2 <= -2 1/5x <= -4 x <= -20 Therefore, the solution is x <= -70 or x >= 22.