1 point A student is graphing the solution to the inequality shown below. \( -3 x-12>-5 x-4 \) Choose the correct answer from each drop-down to describe the graph of the solution.

To solve the inequality \(-3x - 12 > -5x - 4\), we can follow these steps: 1. **Add \(5x\) to both sides**: \[ -3x + 5x - 12 > -4 \] This simplifies to: \[ 2x - 12 > -4 \] 2. **Add \(12\) to both sides**: \[ 2x > 8 \] 3. **Divide both sides by \(2\)**: \[ x > 4 \] Now, we can describe the graph of the solution \(x > 4\): - The graph will be a number line. - There will be an open circle at \(4\) (indicating that \(4\) is not included in the solution). - The line will extend to the right of \(4\) (indicating all numbers greater than \(4\) are included in the solution). So, the correct answer to describe the graph of the solution is: - **Open circle at 4** - **Shaded to the right** If you have specific drop-down options, please provide them, and I can help you select the correct ones!