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Name ___ Date ___ Class___
LESSON xx
73Practice A
Solving Systems of Linear Inequalities Tell whether the ordered pair is a solution of the given system.y d × 2
1. (4, 5);
y t × 1
___y ! 3x
2.
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How to fill out systems of linear inequalities
How to fill out systems of linear inequalities
01
Identify the inequalities given in the problem.
02
Graph each inequality on the coordinate plane.
03
Identify the shaded region for each inequality.
04
Determine the overlapping shaded region, which represents the solution to the system of linear inequalities.
05
Specify the solution as an ordered pair or as an inequality.
Who needs systems of linear inequalities?
01
Students studying algebra or linear equations in mathematics
02
Engineers and scientists analyzing systems of equations in real-world applications
03
Economists studying market equilibrium and optimization
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What is systems of linear inequalities?
Systems of linear inequalities are sets of inequalities that involve two or more linear equations. They represent regions on a graph where certain conditions are satisfied and can be used to find feasible solutions for optimization problems.
Who is required to file systems of linear inequalities?
Individuals or entities engaged in certain mathematical or optimization tasks may be required to analyze and represent problems using systems of linear inequalities, especially in fields such as economics, engineering, and operations research.
How to fill out systems of linear inequalities?
To fill out systems of linear inequalities, first identify the constraints in the problem, then write each constraint as an inequality, and finally, plot these inequalities on a graph to find the feasible region.
What is the purpose of systems of linear inequalities?
The purpose of systems of linear inequalities is to model situations where multiple conditions or constraints must be satisfied simultaneously, helping to find feasible solutions in optimization problems.
What information must be reported on systems of linear inequalities?
When reporting on systems of linear inequalities, one must include the inequalities themselves, the constraints they represent, the feasible region, and any relevant optimal solutions if applicable.
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