# Why do you not change the inequality sign when solving 9x > - \frac{3}{4}?

To solve the inequality, you have to isolate $x$ by dividing by $9$, which is a positive number.
If the inequality had been: $- 9 x$ > $- \frac{3}{4}$, then $- 9$ would have to be divided from each side and the sign would have to be flipped to <.