Use the image to answer the 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 one solution.
The system has one solution.

The system has two solutions.
The system has two solutions.

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

The system has infinite solutions.

1 answer

Without being able to see the image, I can't provide specifics based on what is graphed. However, I can explain the concepts involved:

  1. If the dashed lines represent inequalities and they do not overlap, the system has no solutions.
  2. If the lines intersect at a single point, then there would be one solution.
  3. If the lines form a region (like overlapping or creating a bounded area), then there are infinite solutions.
  4. If there are distinct regions determined by the lines and there are certain points of intersection or boundaries that indicate more than one valid area, there could be two solutions as well.

You can use this guidance to select the appropriate statement based on what is depicted in your image.