To determine the correct description of the graphed system of inequalities, we can analyze the characteristics of the lines and the shaded regions of the graph.
- If the graph shows overlapping shaded areas where both inequalities are satisfied, then the system has infinite solutions.
- If the graph shows that no shaded regions overlap at all, meaning there are no points that satisfy both inequalities, then the system has no solutions.
- If the graph indicates a unique point where both inequalities are satisfied, then the system has one solution.
- If it appears that there are exactly two distinct solutions but generally that is less common in systems of inequalities.
Given the nature of inequalities and their graphical representations, it is most likely that typical systems would lead to infinite or no solutions. Since I cannot see the image or details, based on your description, the most probable answer could be:
"The system has infinite solutions."
This applies if the dashed line represents a boundary that does not include points, and the solid line includes points, leading to an infinite area where these conditions meet. If the lines do not intersect or if there are no overlapping shaded regions, then "The system has no solutions" would be the response.
Without seeing the actual graph, I suggest checking the overlapping regions once again for confirmation.