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Is it possible for a system of two linear inequalities to have no solution?
Wiki User
∙ 14y ago
Sure. Visualize the graphs of two half-planes, each representing a linear inequality. Those can overlap, or they might not overlap. For example:
x > 2, and
x < 0
But a similar example can be made with two variables, as well.
x + y > 3
x + y < 2
If you graph it, you will get two half-planes that don't touch.
If you look at the equations, for any combination of values for x and y, the result can't be both more than 3 and less than 2, so there is not a single solution.
Wiki User
∙ 14y ago
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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.
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 .
When solving a system of linear inequalities what does the region that is never shaded represent?
It represents the solution set.
What consists of 2 or more linear inequalities in the same variable?
A system of linear inequalities
Which is not possible solution of a system of linear equations?
anal juice
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 does A system of two linear inequalities have a solution?
When there is an ordered pair that satisfies both inequalities.
Can the solution of a system of linear inequalities be the points on a line?
yes
When is system of linear inequalities have no solution?
When the lines never intersect, usually when they are parallel.
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 .
Is it possible for a system of two linear inequalities to have exactly one solution?
Yes. As a simple example, consider X ≥ 1 and x ≤ 1. They have the one solution: x = 1
How many solution sets do systems of linear inequalities have Must solutions to systems of linear inequalities satisfy both inequalities In what case might they not?
A solution to a linear inequality in two variables is an ordered pair (x, y) that makes the inequality a true statement. The solution set is the set of all solutions to the inequality. The solution set to an inequality in two variables is typically a region in the xy-plane, which means that there are infinitely many solutions. Sometimes a solution set must satisfy two inequalities in a system of linear inequalities in two variables. If it does not satisfy both inequalities then it is not a solution.
A system of two linear inequalities has either no points or infinitely many points in its solution?
the answer is true
When solving a system of linear inequalities what does the region that is never shaded represent?
It represents the solution set.
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.
What consists of 2 or more linear inequalities in the same variable?
A system of linear inequalities
which graph shows the solution to the system of linear inequalities y>2x+1 y?
3
