math 141 ch 3 notes

math 141 ch 3 notes - Linear Programming Graphing Systems...

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Unformatted text preview: Linear Programming Graphing Systems of Linear Inequalities in Two Variables (I.C.1) Linear Programming (I.C.2) Graphing a Linear Inequality Recall that the equation of a line can be expressed as: A linear inequality can similarly be expressed as: ax + by + c = ax + by + c < ax + by + c " ax + by + c > ax + by + c # Graphing a Linear Inequality Recall that the equation of a line can be expressed as: A linear inequality can similarly be expressed as: ax + by + c = ax + by + c < ax + by + c " ax + by + c > ax + by + c # The line resulting from the corresponding equation is called the boundary line . The boundary line divides the plane into two halves. One side of the line is the solution set of the inequality. The inclusion of the line in the solution region depends on the type of inequality: If the inequality uses ≥ or ≤ , draw the boundary line as solid. If the inequality uses > or <, draw the boundary line as dashed. Example: Graph . 2 x " 3 y " 12 < Graphing a System of Linear Inequalities If there are two or more inequalities, i.e. a system, the solution set, called S , will be the region where they are true at the same time. Bounded vs Unbounded The solution set of a system of linear inequalities is bounded if you can draw a circle around it....
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This note was uploaded on 03/26/2008 for the course MATH 141 taught by Professor Jillzarestky during the Spring '08 term at Texas A&M.

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math 141 ch 3 notes - Linear Programming Graphing Systems...

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