Question

Choose the inequality sign needed to write the system of linear inequalities represented by the graph. Algebra 1 Reference Sheet Link (2 points) y −4x+1 y 12x−3

Answer 1

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:
1. \( y < 4x - 1 \) (or \( y > 4x - 1 \))
2. \( y < 12x - 3 \) (or \( y > 12x - 3 \))

Ensure to match the shading on the graph with the inequality signs accordingly!