To write the system of linear inequalities represented by the graph you've described, we can analyze each inequality based on the given terms.
For the first inequality \( y - 4x + 1 \):
- Rearranging yields \( y < 4x - 1 \) or \( y > 4x - 1 \) depending on whether the area above or below the line is shaded.
- Choose the inequality sign based on the shading in the graph (typically if the area above the line is shaded, we use \( > \), and if below, we use \( < \)).
For the second inequality \( y < 12x - 3 \):
- This will typically also depend on the shading. Again, if the area above the line is shaded, you would use \( > \), and if below, \( < \).
Since the specific shading of the graph isn't provided, I can't choose the exact signs. However, use the graph's shaded regions to determine the appropriate signs for each inequality.
Overall, your system would look like this:
- \( y < 4x - 1 \) (or \( y > 4x - 1 \))
- \( y < 12x - 3 \) (or \( y > 12x - 3 \))
Ensure to match the shading on the graph with the inequality signs accordingly!