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How do you know which region of the graph of a system of linear inequalities contains the solutions?

If the lines intersect, then the intersection point is the solution of the system. If the lines coincide, then there are infinite number of the solutions for the system. If the lines are parallel, there is no solution for the system.


What graph represents the solution set of this system of inequalities?

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.


Is the graph of a solution set of a system of two linear inequalities always bounded?

No it is NOT always bounded. Here is an example of an unbounded one. 1. 2x-y>-2 2. 4x+y


How do you solve questions that say which graph best represents the system of inequalities?

The solution to a system of inequalities is where the solutions to each of the individual inequalities intersect. When given a set of graphs look for the one which most closely represents the intersection, this one will contain the most of the solution to the the system but the least extra.


Graph the system of inequalities y-2 and x3?

Graph the following Inequalities: x > 3


If a system of linear equations has no solution then the graph of the two equationsmust be what kind of line?

parallel


How do you solve a linear inequalities?

to solve a linear in equality you have to write it out on a graph if the line or shape is made ou of strate lines its linear


What does it mean by solving linear systems?

Solving linear systems means to solve linear equations and inequalities. Then to graph it and describing it by statical statements.


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

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


Describe the graph of a linear system with one solution?

Two or more straight lines meeting at one point.


Which graph represents the following system of inequalities?

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It is impossible for a system of two linear equations to have exactly one solution. True or False?

False, think of each linear equation as the graph of the line. Then the unique solution (one solution) would be the intersection of the two lines.