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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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Is the point of intersection always included in the solution of a system of inequalities?
It depends on whether the inequalities are strict or not.
Can the solution of a system of linear inequalities be the points on a line?
yes
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.
A system of two linear inequalities has either no points or infinitely many points in its solution?
the answer is true
What is an example when the solution of a system of inequalities must be in the first quadrant?
I) x>0 II) y>0 The first quadrant is the part of the coordinate plane where x and y are both positive. The above system states precisely that, and actually any point in the first quadrant is a solution to the above system of inequalities.
Every system of inequalities has a solution?
Which system of inequalities has a solution set that is a line?
How do you know if a system has one solution?
If the equations or inequalities have the same slope, they have no solution or infinite solutions. If the equations/inequalities have different slopes, the system has only one solution.
When does A system of two linear inequalities have a solution?
When there is an ordered pair that satisfies both inequalities.
What is the intersections of the graphs in a system of inequalities?
It is a point that may or may not be a solution to the system - depending on whether or not the inequalities are strict.
Is it possible for a system of two linear inequalities to ha a single point as a solution?
yes it is possible for a system of two linear inequalities to have a single point as a solution.
Is the point of intersection always included in the solution of a system of inequalities?
It depends on whether the inequalities are strict or not.
Which system of inequalities has no solution?
Which system of inequalities has no solution?A.y > 3x - 1y < 3x - 3B.y > 3x + 3y < 3x + 7C.y > -1y < 2y > 2x - 3re...
Can the solution of a system of linear inequalities be the points on a line?
yes
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.
What are the solutions to system of inequalities?
Systems of inequalities in n variables with create an n-dimensional shape in n-dimensional space which is called the feasible region. Any point inside this region will be a solution to the system of inequalities; any point outside it will not. If all the inequalities are linear then the shape will be a convex polyhedron in n-space. If any are non-linear inequalities then the solution-space will be a complicated shape. As with a system of equations, with continuous variables, there need not be any solution but there can be one or infinitely many.
In a system of nonlinear inequalities the solution set is the region where shaded regions?
overlap
In a system of nonlinear inequalities he solution set is the region where shaded regions?
true
