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The solution of a linear inequality in two variables like Ax + By > C is an ordered pair (x, y) that produces a true statement when the values of x and y are substituted into the inequality.

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Vaishnavi kesarkar

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This answer is:
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Abigail Blanda

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2y ago
Absolutely!
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Kody Nienow

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Absolutely!

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Q: What are linear inequalities in two variables?
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Related questions

A graph of two simultaneous linear inequalities in two variables that have no intersecting regions must contain two lines with the same slope?

A graph of two simultaneous linear inequalities in two variables that have no intersecting regions must contain two lines with the same slope.


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.


True or false A graph of two simultaneous linear inequalities in two variables that have no intersecting regions must contain two lines with the same slope?

True


Inequalities containing two inequality symbols are called what?

Linear inequalities in one variable


When does A system of two linear inequalities have a solution?

When there is an ordered pair that satisfies both inequalities.


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.


Why was there a need to invent linear equation in two variables?

If two variables are related, then the simplest relationship between them is a linear one. The linear equation expresses such a relationship.If two variables are related, then the simplest relationship between them is a linear one. The linear equation expresses such a relationship.If two variables are related, then the simplest relationship between them is a linear one. The linear equation expresses such a relationship.If two variables are related, then the simplest relationship between them is a linear one. The linear equation expresses such a relationship.


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


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

No.


How many solutions does two linear inequalities have?

None, one or infinitely many


What is two or more linear inequalities using the same variable?

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