answersLogoWhite

0


Best Answer

Each linear equation is a line that divides the coordinate plane into three regions: one "above" the line, one "below" and the line itself. For a linear inequality, the corresponding equality divides the plane into two, with the line itself belonging to one or the other region depending on the nature of the inequality.

A system of linear inequalities may define a polygonal region (a simplex) that satisfies ALL the inequalities. This area, if it exists, is called the feasible region and comprises all possible solutions of the linear inequalities.

In linear programming, there will be an objective function which will restrict the feasible region to a vertex or an edge of simplex. There may also be a further constraint - integer programming - where the solution must comprise integers. In this case, the feasible region will comprise all the integer grid-ponits with the simplex.

User Avatar

Wiki User

โˆ™ 2012-08-07 05:03:45
This answer is:
User Avatar
Study guides

Algebra

20 cards

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

โžก๏ธ
See all cards
3.79
โ˜†โ˜…โ˜†โ˜…โ˜†โ˜…โ˜†โ˜…โ˜†โ˜…
1494 Reviews

Add your answer:

Earn +20 pts
Q: What is the definition of the solution of linear inequalities?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

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.


How are linear inequalities and linear equations the same?

They are not. An inequality cannot, by definition, be the same as an equation.


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?

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 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.


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

Inequalities tend to have infinitely many solutions.


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 consists of 2 or more linear inequalities in the same variable?

A system of linear inequalities

People also asked