Final answer:
To solve the inequality |2x+1| > 9, consider two cases: 2x + 1 > 9 and - (2x + 1) > 9. The solution is x < -5 or x > 4.
Step-by-step explanation:
To solve the inequality |2x+1| > 9, we need to consider two cases:
Case 1: 2x + 1 > 9
Solving this inequality, we get: 2x > 8 => x > 4
Case 2: - (2x + 1) > 9
Simplifying this inequality, we get: -2x - 1 > 9 => -2x > 10 => x < -5
Therefore, the solution to the inequality is x < -5 or x > 4.