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How Do You Solve Systems Of Linear Inequalities?

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How Do You Solve Systems Of Linear Inequalities?

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Systems of linear inequalities are a little harder to solve than linear equalities. However, the basic principles are the same. Instead of having a set intersection point as your solution, you will have a solution set, which is represented graphically. With a little practice, solving systems of linear inequalities will become much easier. Write down your system of inequalities. Solve and graph each inequality separately. Solve each inequality for x or y. Remember to be consistent and solve for the same variable in all each inequality in the system. Create a table of values for each inequality. You will normally need at least three points. Choose three values for y for each inequality. Substitute the values into your solved inequalities to determine your points. Remember points are written in the form (x, y). Graph each individual line. Use the points you found in Step 3. Determine where to shade for each line. Choose a point above or below each line and substitute into the inequality b

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