Unit 2 Flashcards
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Linear Inequality
Similar to a linear equation, instead with an inequality symbol
Graphing Linear Inequalities
A visual way of showing the ordered pairs that satisfy the inequality
Steps to Graph Linear Inequalities
1) Put the inequality into slope intercept form, making sure to flip the sign if you multiply or divide by a negative
2) Graph the line
3) Shade
Linear Inequality Lines
Use solid line for equal to
Linear Inequality Shading
Use test or greater than is above the line and less than is below the line
Solution to a System of Linear Inequalities
The set of ordered pairs that satisfy all the linear inequalities, can be shown by graphing
Steps to Systems of Linear Inequalities
1) Graph and shade each linear inequality
2) The solution to the system is where the shading overlaps
When Graphing Word Problems
Use X and Y
Linear Programming
A method which uses linear equations and inequalities to determine the optimal solution of a certain situation
Constraints
Limitations on a problem or the linear inequalities
Steps to Find the Optimal Solution
1) Use the constraints to write a system of inequalities
2) Graph the system, clearly showing the feasible region
3) Write an objective function
4) Test the vertices of the feasible region to find the optimal solution
Objective Function
The quantity you would like to minimize or maximize, where the vertices are tested
Vertices
Points of intersection from the bounded solution region
Standard Viewing
10 x 10, press zoom and then option six
