Solve the following inequality and graph the solution set on a number line. \[ 3 x-6>2 x+9 \] What is the solution? $\{x \mid \square$ (Type an inequality.) Choose the correct graph below. A. B. c. D.

Step 1 ：Subtract 2x from both sides of the inequality: \(3x - 2x > 2x + 9 - 2x\) which simplifies to \(x > 2x + 9\).

Step 2 ：Add 6 to both sides of the inequality: \(x + 6 > 2x + 9 + 6\) which simplifies to \(x > 15\).

Step 3 ：The solution to the inequality is \(\boxed{x > 15}\). This means that any number greater than 15 is a solution to the inequality.

Step 4 ：The correct graph would be a number line with an open circle at 15 and shading to the right.