Alg2 8.1 and 8.2 Review

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What is a feasible region in linear programming?

Back

The feasible region is the set of all possible points that satisfy the constraints of a linear programming problem. It is typically represented graphically as a polygon in the coordinate plane.

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How do you determine if a point lies within the feasible region?

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To determine if a point lies within the feasible region, substitute the coordinates of the point into the constraints of the linear programming problem. If all constraints are satisfied, the point is in the feasible region.

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What is the significance of the slope in a linear inequality?

Back

The slope in a linear inequality indicates the steepness and direction of the line. A positive slope means the line rises from left to right, while a negative slope means it falls.

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What does it mean if a point is outside the feasible region?

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If a point is outside the feasible region, it means that it does not satisfy one or more of the constraints of the linear programming problem.

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What is the difference between a solid line and a dashed line in graphing inequalities?

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How do you find the intersection of two linear inequalities?

Back

To find the intersection of two linear inequalities, graph both inequalities on the same coordinate plane and identify the region where the shaded areas overlap.