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A feasible region of a system of linear ...

A feasible region of a system of linear inequalities is said to be ..., if it can be enclosed within a circle.

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**Step-by-Step Solution:** 1. **Understanding the Concept**: A feasible region is the set of all possible points that satisfy a given system of linear inequalities. 2. **Definition of Bounded Feasible Region**: A feasible region is considered bounded if there is a limit to how far the points in the region can extend. 3. **Circle Enclosure**: If a feasible region can be enclosed within a circle, it means that all points of the region are contained within a finite distance from a central point. 4. **Conclusion**: Therefore, a feasible region that can be enclosed within a circle is termed as a "bounded feasible region". **Final Answer**: A feasible region of a system of linear inequalities is said to be **bounded** if it can be enclosed within a circle. ---

**Step-by-Step Solution:** 1. **Understanding the Concept**: A feasible region is the set of all possible points that satisfy a given system of linear inequalities. 2. **Definition of Bounded Feasible Region**: A feasible region is considered bounded if there is a limit to how far the points in the region can extend. 3. **Circle Enclosure**: If a feasible region can be enclosed within a circle, it means that all points of the region are contained within a finite distance from a central point. ...
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