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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.
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What does a single solution to a system of equations mean?
It represents the point of intersection on a graph.
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.
When graphing circles how do you know which way to shade the line?
When graphing inequalities you use a circle to indicate a value on a graph. If the value is included in the solution to the inequality you would fill in the circle. If the value that the circle represents is not included in the solution you would leave the circle unshaded.
The solution of a system of equation is?
the solution to a system is where the two lines intersect upon a graph.
How many solutions will a system have if the graph of the solution is intersecting line?
One solution
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.
Which graph represents the following system of inequalities?
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which graph shows the solution to the system of linear inequalities y>2x+1 y?
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Graph the system of inequalities y-2 and x3?
Graph the following Inequalities: x > 3
What does a single solution to a system of equations mean?
It represents the point of intersection on a graph.
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 part of an inequality graph represents the solution?
The Feasible Region
When graphing circles how do you know which way to shade the line?
When graphing inequalities you use a circle to indicate a value on a graph. If the value is included in the solution to the inequality you would fill in the circle. If the value that the circle represents is not included in the solution you would leave the circle unshaded.
The solution to a two-variable system is the point on a graph at which the lines cross?
Yes, the solution to a two-variable system is the point where the equations of the lines representing the system intersect on a graph. This point represents the values of the variables that satisfy both equations 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
When graphing inequalities why do you shade the graph?
The part that is shaded represents all the possible solutions. An inequality has solutions that are either left or righ, above or below or between two parts of a graph.
The solution of a system of equation is?
the solution to a system is where the two lines intersect upon a graph.
