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The answer depends on which area is shaded for each inequality. I always teach pupils to shade the unwanted or non-feasible region. That way the solution is in the unshaded area. This is much easier to identify than do distinguish between a region which is shaded three times and another which is shaded four times.

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That is correct. In a system of nonlinear inequalities, the overlapping shaded region represents the solution set where all the inequalities are simultaneously satisfied.

Q: In a system of nonlinear inequalities the solution set is the region where the shaded regions overlap.?

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To shade the upper region of a line means the inequality has a greater than value while shading the lower region means the inequality has a less than value.

Given an inequality, you need to decide whether you are required to shade the region in it is TRUE or FALSE. If you are given several inequalities, you would usually be required to shade the regions where they are false because shading is additive [shading + shading = shading] and you will be left with the unshaded region where all the inequalities are true.Next, select any point which is not of the line or curve for the inequality. Plug its coordinates into the inequality: it the result FALSE? If so, shade the region (relative to the line or curve) in which the point is found. If substituting the coordinates gives an inequality which is TRUE then shade the regions which is the other side of the line or curve.

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overlap

An inequality determines a region of space in which the solutions for that particular inequality. For a system of inequalities, these regions may overlap. The solution set is any point in the overlap. If the regions do not overlap then there is no solution to the system.

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No, regions are separate and cannot overlap.

In 2-dimensional space, an equality could be represented by a line. A set of equalities would be represented by a set of lines. If these lines intersected at a single point, that point would be the solution to the set of equations. With inequalities, instead of a line you get a region - one side of the line representing the corresponding equality (or the other). The line, itself, may be included or excluded. Each inequality can be represented by a region and, if these regions overlap, any point within that sub-region is a solution to the system of inequalities.

No, there is a lot of overlap.

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There are very rarely distinct boundaries where a region abruptly changes.

A graph of two simultaneous linear inequalities in two variables that have no intersecting regions must contain two lines with the same slope.

The south and west . BTW Follow Me On Instagram Smurfing_Awesome

well, here is the answer. If you are doing this for a homework thingy, listen to me.. it is because the borders were once just made on the land, and then the states were made to overlap eachother!!!!