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.
overlap
true
To determine the graph that represents the solution set of a system of inequalities, you need to plot each inequality on a coordinate plane. The solution set will be the region where the shaded areas of all inequalities overlap. Typically, the boundaries of the inequalities will be represented by solid lines (for ≤ or ≥) or dashed lines (for < or >). Identifying the correct graph involves checking which regions satisfy all the inequalities simultaneously.
true
In algebra, a boundary point refers to a point that marks the edge or limit of a set or region in a coordinate system. It is often associated with inequalities, where it can be included or excluded from the solution set, depending on the type of inequality used (e.g., ≤ or <). Boundary points help define the boundaries of feasible regions in graphing and optimization problems.
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.
true
To determine the graph that represents the solution set of a system of inequalities, you need to plot each inequality on a coordinate plane. The solution set will be the region where the shaded areas of all inequalities overlap. Typically, the boundaries of the inequalities will be represented by solid lines (for ≤ or ≥) or dashed lines (for < or >). Identifying the correct graph involves checking which regions satisfy all the inequalities simultaneously.
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.
Yes, regions can overlap when they share boundaries or have areas that are common to both regions. Overlapping regions are common in geospatial analysis, political boundaries, and environmental studies where features can exist in multiple regions simultaneously.
True
true
There are very rarely distinct boundaries where a region abruptly changes.
The south and west . BTW Follow Me On Instagram Smurfing_Awesome
A graph of two simultaneous linear inequalities in two variables that have no intersecting regions must contain two lines with the same slope.
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!!!!