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 infinite solutions.
The system has infinite solutions.

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

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

The system has two solutions.

1 answer

Based on your description of the Cartesian coordinate plane with dashed lines indicating a system of inequalities, the likely correct statement would be:

The system has infinite solutions.

In systems of inequalities, if the regions defined by the inequalities overlap, there are infinitely many points that satisfy the inequalities in that overlapping region. The presence of dashed lines indicates that the lines themselves are not included in the solution set (as they represent "<" or ">"). Therefore, if there is an overlapping area, it suggests that there are infinite solutions within that region.