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Sasha is selling handmade jewelry to earn money for camp. Bracelets sell for $7 and necklaces sell for $15, and she needs to make at least $250 in revenue to cover the cost of camp.
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Can the solution of a system of linear inequalities be the points on a line?
yes
A system of two linear inequalities has either no points or infinitely many points in its solution?
the answer is true
which graph shows the solution to the system of linear inequalities y>2x+1 y?
3
Who discovered solving linear system equations by using matrices?
Arthur Cayley
What is the first step in solving a system of nonlinear equations by substitutions?
In general, a system of non-linear equations cannot be solved by substitutions.
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
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.
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
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.
How is solving a system of linear equations the same as solving a system of linear inequalities?
Not quite sure of the direction of the argument required.Any inequality can be made into an equality by using an auxiliary variable. For example,x + 2y < 3 is equivalent to x + 2y - a = 3 where a is some positive variable. [This method is used in linear programming.]Conversely, any equality can be written as a combination of two inequalities. For example,x + 2y = 3 is the same asx + 2y ≤ 3 and x + 2y ≥ 3
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
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.
which graph shows the solution to the system of linear inequalities y>2x+1 y?
3
