Score: \( 1 / 4 \) Penalty: 0.5 off Question Solve the following inequality algebraically. \[ |x+8|<5 \] Answer Attempt s out of 10

To solve the inequality \( |x+8| < 5 \), we start by recognizing that this absolute value inequality represents two separate cases. 1. **First case**: \[ x + 8 < 5 \] This simplifies to \( x < -3 \). 2. **Second case**: \[ x + 8 > -5 \] This simplifies to \( x > -13 \). Now, we need to combine the results from both cases to find the solution set. Therefore, the results give us the interval: \[ -13 < x < -3 \] So the final solution to the inequality \( |x+8| < 5 \) is: \[ x \in (-13, -3) \] Feel free to ask if you have any questions or need clarification!