A Cartesian coordinate plane's axes range from negative 4 to 4, both by 1-unit increments. 2 dashed lines with arrows at both ends are plotted, and various regions of the graph are marked.

Question

Select a true statement to describe the graphed system of inequalities.

(1 point)
Responses

The system has infinite solutions.
The system has infinite solutions.

The system has no solutions.
The system has no solutions.

The system has one solution.
The system has one solution.

The system has two solutions.

Answer 1

To determine the correct statement about the system of inequalities based on the graph you described, consider the following:

1. Infinite Solutions: If the dashed lines represent boundary lines and the shaded regions indicate areas where the inequalities hold true, and if there are overlapping shaded areas, it usually suggests there are infinite solutions within that overlapping region.

2. No Solutions: This would be the case if the shaded regions of the inequalities do not overlap at all, indicating that no points satisfy all conditions simultaneously.

3. One Solution: This would occur if there is exactly one point that satisfies all inequalities simultaneously.

4. Two Solutions: This is possible if there are precisely two points that satisfy the inequalities, which is less common but can occur in specific configurations.

Since I can't see the graph itself, I can only guide you based on typical interpretations. If the dashed lines and shading indicate overlapping areas (or if the graph illustrates a region bounded by the inequalities), it is likely that the correct statement is:

The system has infinite solutions.

If there are no overlapping shaded areas, then the appropriate response would be:

The system has no solutions.

To choose correctly, analyze the graph for overlaps and regions of feasible solutions based on the inequalities represented.