Use the image to answer the question.

Question

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.

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 two solutions.
The system has two solutions.

The system has one solution.

Answer 1

Without the image to refer to, I can't provide a precise answer based on the visual information. However, I can help you understand how to determine whether a system of inequalities has no solutions, one solution, two solutions, or infinite solutions:

1. Infinite solutions: This is typically the case when the inequalities describe overlapping regions on the graph. If the shaded areas of the inequalities intersect significantly, there are infinite points that satisfy all inequalities.

2. No solutions: This occurs when the inequalities describe regions that do not overlap at all, meaning there is no common area that satisfies the set of inequalities.

3. Two solutions: This might be the case in a geometric situation such as if two lines intersect in exactly two specific points, leading to two solutions.

4. One solution: This often occurs when two lines intersect at exactly one point.

To select the correct true statement, you should analyze the dashed lines and the shaded regions based on the above points. If you can provide more information about the graph or describe the inequalities represented, I can help further!