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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
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
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 is it possible for a system of two linear inequalities to have no solution?
A system of two linear inequalities can have no solution when the inequalities represent parallel lines that do not intersect. This occurs when the lines have the same slope but different y-intercepts. In such cases, there is no set of values that can satisfy both inequalities simultaneously, resulting in an empty solution set.
When is system of linear inequalities have no solution?
When the lines never intersect, usually when they are parallel.
When we graph a system of two linear inequalities any point in the doubly shaded region has coordinates that contain both inequalities?
In a graph of a system of two linear inequalities, the doubly shaded region represents the set of all points that satisfy both inequalities simultaneously. Any point within this region will meet the criteria set by both linear inequalities, meaning its coordinates will fulfill the conditions of each inequality. Consequently, this region illustrates all possible solutions that satisfy the system, while points outside this region do not satisfy at least one of the inequalities.
What is the set of two or more inequalities?
A set of two or more inequalities is known as a system of inequalities. This system consists of multiple inequalities that involve the same variables and can be solved simultaneously to find a range of values that satisfy all conditions. Solutions to a system of inequalities are often represented graphically, where the feasible region indicates all possible solutions that meet all the inequalities. Such systems are commonly used in linear programming and optimization problems.
What is the difference between the solution of a system of linear inequalities and the solution of a system of linear equations?
The solution of a system of linear equations consists of specific points where the equations intersect, typically yielding a unique point, infinitely many points, or no solution at all. In contrast, the solution of a system of linear inequalities represents a region in space, encompassing all points that satisfy the inequalities, often forming a polygonal shape in two dimensions. While equations define boundaries, inequalities define areas that can include multiple solutions. Thus, the nature of their solutions differs fundamentally: precise points versus expansive regions.
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.
