x/2-9 greater than -5

To solve the inequality \( \frac{x}{2} - 9 > -5 \), follow these steps:

1. Add 9 to both sides: \[ \frac{x}{2} - 9 + 9 > -5 + 9 \] \[ \frac{x}{2} > 4 \]

2. Multiply both sides by 2 (since 2 is positive, the inequality direction stays the same): \[ x > 8 \]

Thus, the solution to the inequality is: \[ x > 8 \]