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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 no solutions.
The system has no solutions.

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

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

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

1 answer

Without seeing the image, I can provide general guidance based on typical scenarios involving systems of inequalities.

If the graph shows overlapping regions (feasible solutions) defined by the dashed lines, then typically:

  • If the regions intersect, the system may have infinite solutions.
  • If there's a single intersection point where the inequalities meet, it's one solution.
  • If the inequalities contradict each other (i.e., no overlapping area), there would be no solutions.

Based on common outcomes in such scenarios, the most likely answer, if there are overlapping shaded areas, would be that the system has infinite solutions.

If you have more specific descriptions of the inequalities or the regions, I could help clarify further!