Question

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

Answer 1

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.