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 dotted lines with arrows at both ends are plotted, and various regions of the graph are marked.

Which of the descriptions is true about the graph of the system of inequalities?

Option #1: no solutions

Option #2: one solution

Option #3: infinite solutions

(1 point)
Option #
Remaining Attempts : 3
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1 answer

Without the visual image to reference, I can provide a general approach to determine the solution for a system of inequalities based on typical scenarios:

  1. No Solutions: This occurs when the inequalities represent two parallel lines that do not intersect. If the shaded regions represented by the inequalities do not overlap or touch, then there are no solutions.

  2. One Solution: This is the case when the inequalities represent lines that intersect at a single point. If the solution area defined by the inequalities is a single intersection point, then there is only one solution.

  3. Infinite Solutions: This occurs when the inequalities represent the same line or when one line is contained within the region defined by another inequality. If there is a shaded area that extends infinitely and overlaps, then there are infinitely many solutions.

To determine the correct option based on the provided graph and context, analyze the positions of the dotted lines (which typically represent inequalities) and the shaded regions. If you can assess whether the lines are parallel, intersecting, or overlapping in a certain way, you will be able to choose the appropriate option.

Given that I don't have access to the specific graph, I suggest you evaluate the conditions above in relation to the visual aspects of the graph provided.

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