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The solution to the system of inequalities is following as y ≤ -4 ;y ≤ - x + 4
Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
As per option (A), we have the system of inequality as follows:
y ≤ -4
y ≤ - x + 4
The region is above the graph, hence our inequality should be y ≤ - x + 4
The inequality sign part comes from visible the graph, the line is drawn using a dashed line, hence the line is included in the region.
Thus, this graph corresponds to a system of inequalities which is the correct answer that would be option (A).
Learn more about inequalities here:
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