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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.
When solving a system of linear inequalities what does the region that is never shaded represent?
It represents the solution set.
What is any and all values of the variable that satisfies an equation inequality system of equations or system of inequalities?
They make up the solution set.
How do you know which region of a system of inequalities is the solution?
Each inequality divides the Cartesian plane into two parts. On one side of the line the inequality is satisfied while on the other it is not. A system of inequalities divides the plane into a number of such parts and the intersection of these parts in which the inequalities are true defines the the required region.
When we look for a solution for a system of equations or inequalities are we looking into an AND situation or an OR situation?
Unless otherwise stated, the "AND" case is normally assumed, i.e., you have to find a solution that satisfies ALL equations.
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.
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.
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
