Answer:
[tex]\large\boxed{x>-3\to x\in(-3,\ \infty)}[/tex]
Step-by-step explanation:
[tex]-9<2x-3\qquad\text{add 3 to both sides}\\\\-6<2x\qquad\text{divide both sides by 2}\\\\-3<x\to x>-3[/tex]
If it is < or ≤, draw a line to the left.
If it is > or ≥, draw the line to the right.