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Instead of using y = mx + b you use y (inequality sign) mx + b. By inequality sign, I mean symbols like <,>
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What consists of 2 or more linear inequalities in the same variable?
A system of linear 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 do you solve a linear inequalities?
to solve a linear in equality you have to write it out on a graph if the line or shape is made ou of strate lines its linear
When solving a system of linear inequalities what does the region that is never shaded represent?
It represents the solution set.
What is the relationship between linear algebra and economics?
Many problems in economics can be modelled by a system of linear equations: equalities r inequalities. Such systems are best solved using matrix algebra.
What consists of 2 or more linear inequalities in the same variable?
A system of linear 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.
When does A system of two linear inequalities have a solution?
When there is an ordered pair that satisfies both inequalities.
Can the solution of a system of linear inequalities be the points on a line?
yes
How do you solve a linear inequalities?
to solve a linear in equality you have to write it out on a graph if the line or shape is made ou of strate lines its linear
When is system of linear inequalities have no solution?
When the lines never intersect, usually when they are parallel.
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 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.
Why are systems of linear inequality so important?
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.
Do solutions to systems of linear inequalities satisfy both inequalities?
Yes.
which graph shows the solution to the system of linear inequalities y>2x+1 y?
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