System of Inequalities Review

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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 graphs of the inequalities overlap.

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You shade below the line, indicating that all points below the line satisfy the inequality.

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What is the difference between a solid line and a dotted line in graphing inequalities?

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How do you determine the solution set for a system of inequalities?

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The solution set for a system of inequalities is the region where the shaded areas of all inequalities overlap on the graph.

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It represents a solid line with shading above the line, indicating that points on the line and above it are included in the solution.

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What is the first step in solving a system of inequalities by graphing?

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The first step is to graph each inequality on the same coordinate plane.

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You will use a dotted line to graph it, as the inequality is strict (<).

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What does shading above the line indicate in an inequality?

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Shading above the line indicates that the solutions are all the points where the y-values are greater than the corresponding x-values on the line.