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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Q: A system of two linear inequalities has either no points or infinitely many points in its solution?
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Related questions

How many solution does a linear inequality in one variable have?

Inequalities tend to have infinitely many solutions.


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 do systems of linear inequalities have?

They can have none, one or infinitely many.


How many solutions does two linear inequalities have?

None, one or infinitely many


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.


Do two linear inequalities have zero or one or several or infinitely many solutions?

Inequalities are defining part of the plane So either they intersect in infinitely many point (either in a part of the plane or on a line) or they don't intersect 1 - zero solution x+y > 1 and x+y <0 2 - infinitely many solution x+y >2 and x + y > 3 (a part of the plane) x+y >=2 and x+y <= 2 (a line)


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.


Can the solution of a system of linear inequalities be the points on a line?

yes


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.


Do solutions to systems of linear inequalities need to satisfy linear inequalities?

No. For example, the solution to x ≤ 4 and x ≥ 4 is x = 4.


When is system of linear inequalities have no solution?

When the lines never intersect, usually when they are parallel.

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