Determine which of the graphs is the graph of a system of inequalities with no solutions.(1 point)

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Two dashed lines and four points are graphed on a coordinate plane. The x-axis ranges from negative 6 to 30 in increments of 2. The y-axis ranges from negative 5 to 15 in increments of 1.
Image with alt text: Two dashed lines and four points are graphed on a coordinate plane. The x-axis ranges from negative 6 to 30 in increments of 2. The y-axis ranges from negative 5 to 15 in increments of 1.

A Cartesian coordinate plane's axes range from negative 4 to 4, both by 1-unit increments. A solid line with arrows at both ends is plotted, and various regions of the graph are marked.
Image with alt text: A Cartesian coordinate plane's axes range from negative 4 to 4, both by 1-unit increments. A solid line with arrows at both ends is plotted, and various regions of the graph are marked.

A Cartesian coordinate plane's axes range from negative 4 to 4, both by 1-unit increments. 2 solid lines with arrows at both ends are plotted, and various regions of the graph are marked.
Image with alt text: A Cartesian coordinate plane's axes range from negative 4 to 4, both by 1-unit increments. 2 solid lines with arrows at both ends are plotted, and various regions of the graph are marked.

A Cartesian coordinate plane's axes range from negative 4 to 4, both by 1-unit increments. 2 solid lines with arrows at both ends are plotted, and various regions of the graph are marked.
Image with alt text: A Cartesian coordinate plane's axes range from negative 4 to 4, both by 1-unit increments. 2 solid lines with arrows at both ends are plotted, and various regions of the graph are marked.
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Answer 1

To determine which of the graphs represents a system of inequalities with no solutions, we need to look for scenarios where the regions represented by the inequalities do not overlap at all.

1. Graph with Two Dashed Lines and Points: This graph likely represents inequalities where regions could overlap, depending on the location of the points. It's hard to conclude that it has no solution without seeing the specifics of the lines and their intersections.

2. Graph with a Solid Line: A single solid line doesn't produce a system. A solid line would indicate a single linear equation that can have infinitely many solutions.

3. Graph with Two Solid Lines: This graph might represent a system of two equations. If the lines are parallel, they will not intersect, thus yielding no solution.

4. Another Graph with Two Solid Lines: Similar to the previous one, this could also represent a system of two equations.

Based on these interpretations, the graph that has two solid lines (if they are parallel) would indicate a system of inequalities with no solutions. If either of these graphs with two solid lines displays parallel lines, then that is the graph you are looking for.

However, from the information you provided, I recommend focusing on the graph explicitly mentioned with two solid lines, as it is the most likely candidate for having no solutions if the lines are parallel.