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What is the definition of a feasible region?

Understand the Problem

The question is asking for a definition of the term 'feasible region', which is commonly used in mathematics, especially in linear programming and optimization contexts. The feasible region refers to the set of all possible points that satisfy a given set of constraints.

Answer

The set of points that satisfy all the constraints of a system of inequalities.

The feasible region is the set of points that satisfy all the constraints of a system of inequalities.

Answer for screen readers

The feasible region is the set of points that satisfy all the constraints of a system of inequalities.

More Information

In linear programming, the feasible region is often visualized graphically as the area where the shaded regions of all inequalities overlap. It represents all potential solutions to the problem.

Tips

A common mistake is neglecting to include all constraints when determining the feasible region.

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