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These type of problems can be helpful in decision making, for example you have a limited number of resources (such as a certain amount of land to farm), then you can create inequalities that describe costs and benefits to plant certain types of crops. An area which represents the possible solutions of cost and benefit will be bounded by the inequality lines.
I helped my daughter with an algebra word-problem similar to this (I wish I had it handy). A horse breeder who had a choice between raising quarter-horses or thoroughbreds. Each type of horse would need a certain amount of pasture, and each type would bring in a different amount of money when sold. There were a couple of other constraints, which when graphed, created a bounded area on a cost/benefit graph. The goal of the problem was to find out the optimum number of each type of horse to raise, in order to maximize profits.
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Is it an inequality if a new and equivalent inequality can be created by changing the signs of both terms and reversing the sense?
It is still an inequality but not a new inequality. It will not alter the existence or non-existence of a solution to a system of linear equations / inequalities.
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.
What is the definition of solution in math?
In mathematics, a solution refers to a value or set of values that satisfies an equation, inequality, or system of equations. It is the value or values that make the equation or inequality true.
What is the definition of algebraic inequality?
algebraic inequality, is an inequality that contains at least one variable.
When subtracting a number from both sides of an inequality?
The inequality is maintained with the direction of the inequality unchanged.
Is it an inequality if a new and equivalent inequality can be created by changing the signs of both terms and reversing the sense?
It is still an inequality but not a new inequality. It will not alter the existence or non-existence of a solution to a system of linear equations / inequalities.
What is the best slogans in English about caste system?
Caste inequality
When graphing a system of inequalities the line is dotted for the?
strict inequality
What factor is the Marx analysis of economic inequality and poverty focusing on?
Marx's analysis of economic inequality focuses on the progressive tax system.
How is the solution in a system of inequalities determine?
An inequality determines a region of space in which the solutions for that particular inequality. For a system of inequalities, these regions may overlap. The solution set is any point in the overlap. If the regions do not overlap then there is no solution to the system.
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.
What was one of the most visible ways the Soviet system of organized inequality was seen?
Under Stalin the development of a system of organized inequality had been reflected within Stalin's methods. One of the most important was the repudiation of the goal of equality of incomes..
How do I write a system of linear inequalities?
Instead of using y = mx + b you use y (inequality sign) mx + b. By inequality sign, I mean symbols like
Who sets prices in a capitalist system?
The companies
What is any and all values of the variable that satisfies an equation inequality system of equations or system of inequalities?
They make up the solution set.
How do tell the solution of an inequality?
Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.
What is the definition of solution in math?
In mathematics, a solution refers to a value or set of values that satisfies an equation, inequality, or system of equations. It is the value or values that make the equation or inequality true.
