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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.

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Q: 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?

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Yes.

There is only one solution set. Depending on the inequalities, the set can be empty, have a finite number of solutions, or have an infinite number of solutions. In all cases, there is only one solution set.

Yes.

No. For example, the solution to x â‰¤ 4 and x â‰¥ 4 is x = 4.

Yes. There are lots of answers that will satisfy each.

If it is joined by an "and" it does. If it is joined by an "or" it does not.

true

They can have none, one or infinitely many.

Any solution to a system of linear equations must satisfy all te equations in that system. Otherwise it is a solution to AN equation but not to the system of equations.

There are more solutions in a half plane

tty

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.

One solution

Systems of equations can have just about any number of solutions: zero, one, two, etc., or even infinitely many solutions.

If they are quadratic equations then if their discriminant is less than zero then they have no solutions

By definition, you cannot. To solve means to find an answer or solution to a problem or a question. If there is no solution you cannot find one.

A system of linear inequalities give you a set of answers that could work. In day to day lives we actually use linear inequalities all the time. We are given questions and problems where we search for a number of possible solutions.

BAE Systems Submarine Solutions's population is 5,100.

BAE Systems Submarine Solutions was created in 2003-03.

BAE Systems Surface Fleet Solutions's population is 2,600.

BAE Systems Surface Fleet Solutions was created in 2003.

BAE Systems Surface Fleet Solutions ended in 2008.

Star Micronics is a company that provides EMR solutions. Some other companies that provide EMR solutions are Advanced Data Systems, Practice Fusion, and GE Healthcare.

Solving linear systems means to solve linear equations and inequalities. Then to graph it and describing it by statical statements.

I have no qualitifcation other than studying science and biology at high school and university. If a solution is isotonic that means it has the same conecentration of solutes as in the body. This means that when you have the solution in your body salt won't diffuse into your body from the solution or out of your body into solution. So it seems like isotonic solutions wouldn't mess with your body systems as much which is a good thing.

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