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Which region labeled in the graph below would represent the solution (the final shaded area) to the system of linear inequalities:≥+2≤−+2

Which region labeled in the graph below would represent the solution (the final shaded-example-1
User Lowercase
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1 Answer

21 votes
21 votes

From the first inequality, we can say that the region expressed by it is everything above the line


y=x+2

including the line itself.

From the second, we can determine that the region described by it is everyting below the line


y=-x+2

including the line itself.

Thus, the solution to the system would be the intersection of the regions described by each of the inequalities, that is, everyting above y=x+2 but below y=-x+2:

The region in which the areas overlap is the solution to the system of inequalities.

Thus, Region A as described by the problem is the solution to the system.

Which region labeled in the graph below would represent the solution (the final shaded-example-1
User Iminiki
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