To solve the inequality \( x - 1 > 8 \), follow these steps:
- Add 1 to both sides of the inequality: \[ x - 1 + 1 > 8 + 1 \] This simplifies to: \[ x > 9 \]
So the solution is: \[ x > 9 \]
In interval notation, this can be expressed as: \[ x \geq 9 \]
Therefore, the answer is: \[ x \geq 9 \]