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Q: How many solutions are there for a system of two quadratic inequalities?
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Related questions

How many real solutions does a quadratic equation have if its discriminant is negative?

The quadratic has no real solutions.


How many real solutions can the quadratic formula give?

A quadratic equation can have either two real solutions or no real solutions.


If the discriminant of a quadratic equation is -4 how many solutions does the equation have?

If the discriminant of a quadratic equation is less then 0 then it will have no real solutions.


How many solutions to a quadratic equation?

2


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.


How many solutions does two linear inequalities have?

None, one or infinitely many


How many solutions do systems of linear inequalities have?

They can have none, one or infinitely many.


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?

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.


In general how many distinct solutions are there to a quadratic equation?

the maximum number of solutions to a quadratic equation is 2. However, usually there is only 1.


Most quadratic equations have how many solutions?

2


How many total solutions are there to any quadratic equation?

2


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.