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Which system of inequalities has a solution set that is a line?

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Shelby Bowie

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4y ago

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Can every systems of inequalities has a solution?

Not every system of inequalities has a solution. A system of inequalities can be inconsistent, meaning that there are no values that satisfy all inequalities simultaneously. For example, the inequalities (x < 1) and (x > 2) cannot be satisfied at the same time, resulting in no solution. However, many systems do have solutions, which can be represented as a feasible region on a graph.


Is it true that Every system of inequalities in two variables has at least one solution?

No.


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.


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...


How is the solution in a system of inequalities determine?

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.


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.


When is it possible for a system of two linear inequalities to have no solution?

A system of two linear inequalities can have no solution when the inequalities represent parallel lines that do not intersect. This occurs when the lines have the same slope but different y-intercepts. In such cases, there is no set of values that can satisfy both inequalities simultaneously, resulting in an empty solution set.


Can the solution of a system of linear inequalities be the points on a line?

yes


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 it possible to have a system of linear inequalities where solution is every point in the entire?

Yes, you can say something like y < infinity and y > -infinity .