To accurately determine which statement about the graphed system of inequalities is true, more context or an actual visual representation of the graph is needed.
However, here are brief explanations of the possible responses:
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The system has no solutions: This is the case if the regions defined by the inequalities do not overlap at all.
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The system has one solution: This is unlikely for a system of inequalities, as such systems usually define regions rather than a single point.
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The system has infinite solutions: This is common in systems of inequalities where the shaded regions overlap, suggesting there are multiple points that satisfy all inequalities.
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The system has two solutions: This is also unlikely for systems of inequalities, as they typically define continuous regions rather than discrete points.
Without the graph, I can't definitively state which option is correct. Please refer to the graph and look for the overlapping regions or points to make a determination. If you see overlapping regions, then "The system has infinite solutions" would be the correct choice. If the inequalities are parallel or do not intersect at any point, then "The system has no solutions" would be appropriate. If there are two distinct overlapping points satisfying both inequalities, then "The system has two solutions" would apply.
1 answer