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7.5Notes.notebook7.5 Systems of InequalitiesFebruary28,2017Name: Objectives: Students will be able to solve linear programming problems and systems of inequalities using graphical methods. Examples
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How to fill out 5 systems of inequalities

01
To fill out a system of inequalities, follow these steps:
02
Start by writing down each inequality in the system. For example, if you have five inequalities, write each one separately.
03
Determine the variables involved in the system and label them accordingly. For instance, if the system has x and y variables, label them as such in each inequality.
04
Solve each inequality individually as if it were an equation. Graph the solution on a coordinate plane, shading the area that satisfies the inequality.
05
Repeat the previous step for each inequality in the system, graphing and shading the solutions.
06
Finally, identify the overlapping shaded regions on the coordinate plane. The solution to the system of inequalities is the region where all the shaded areas overlap.
07
By following these steps, you can successfully fill out a system of five inequalities.

Who needs 5 systems of inequalities?

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A variety of individuals or professions can benefit from working with a system of five inequalities. Some examples include:
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These are just a few examples, but anyone dealing with complex systems, optimization, or patterns can find value in using five systems of inequalities.
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5 systems of inequalities represent a set of multiple inequalities involving the same variables.
Individuals and organizations dealing with complex mathematical problems often need to work with 5 systems of inequalities.
To fill out 5 systems of inequalities, one must carefully analyze and graph each inequality to find the overlapping solutions.
The purpose of 5 systems of inequalities is to represent the feasible region where all the individual inequalities overlap.
On 5 systems of inequalities, one must report the values of variables that satisfy all the given inequalities.
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