Practice Graphing System of Inequalities

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What is a system of inequalities?

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A system of inequalities is a set of two or more inequalities with the same variables. The solution is the region where the shaded areas of the inequalities overlap.

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What does it mean if a point is in the overlap of shaded regions?

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A point in the overlap of shaded regions satisfies all inequalities in the system. It is a solution to the system.

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How do you determine if a point is a solution to a system of inequalities?

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Substitute the point's coordinates into each inequality. If the point satisfies all inequalities, it is a solution.

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What is the significance of a dashed line in graphing inequalities?

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A dashed line indicates that points on the line are not included in the solution set for 'less than' (<) or 'greater than' (>) inequalities.

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Which of the following points is NOT a solution to the system of inequalities: (0,-1), (0,3), (4,0), (6,-2)?

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(0,-1) is not a solution because it does not satisfy all inequalities in the system.

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What is the difference between 'greater than' and 'greater than or equal to' in inequalities?

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'Greater than' (>) does not include the boundary line, while 'greater than or equal to' (≥) includes the boundary line in the solution set.