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

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

The system has no solutions.

1 answer

Without the specific image to refer to, it's impossible to provide an accurate answer. However, I can guide you on how to determine the correct statement regarding a system of inequalities based on a graph:

  1. Infinite Solutions: This occurs when the shaded regions of the inequalities overlap in a way that creates a continuous area where any point within that area is a solution.

  2. One Solution: This is rare for a system of inequalities; it typically would suggest that there is a unique point where the shaded areas intersect.

  3. Two Solutions: This is also uncommon for inequalities. Usually, systems will either have overlapping areas (infinite solutions) or no overlap at all.

  4. No Solutions: This is true if the shaded regions do not overlap at all, meaning there is no point that satisfies all of the inequalities simultaneously.

If you analyze the intersections and shaded regions on the graph you have, you can determine which statement is true.