To determine which description is true about the graphed system of inequalities, we need to consider the nature of the lines (solid line vs. dashed line) and how they partition the coordinate plane.
- A solid line generally indicates that the points on the line are included in the solution set (typically associated with '≤' or '≥').
- A dashed line indicates that the points on that line are not included in the solution set (typically associated with '<' or '>').
The intersection of the shaded regions (if there are any shaded areas) will help identify possible solutions:
- If there is a region where both inequalities overlap (the shaded area), then the system has infinite solutions within that overlapping region.
- If the lines do not intersect or the regions do not overlap at all, then the system has no solutions.
- If there is only a single point where the two lines intersect and both inequalities include that point, then the system has one solution.
- If the lines intersect at two distinct points and both inequalities hold true at those points, then the system has two solutions.
Based on this understanding, you can determine how many solutions the system has by analyzing the graph. Since I can't see the image, I suggest looking for areas where shaded regions overlap or where the boundaries of the inequalities lie to assess the relationships.
Please select the appropriate response based on whether the lines intersect and if shaded regions exist.