Systems of Inequalities

Front

What is a system of inequalities?

Back

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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Back

Front

What does the symbol @@y ge -3x + 4@@ indicate about the line?

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Front

What type of line is used for inequalities with < or >?

Back

A dotted line is used for inequalities with < or > to indicate that points on the line are not included in the solution.

Front

What type of line is used for inequalities with ≤ or ≥?

Back

A solid line is used for inequalities with ≤ or ≥ to indicate that points on the line are included in the solution.

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

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The solution set is determined by finding the overlapping region of the shaded areas of the graphed inequalities.

Front

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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What does the inequality @@y ge rac{3}{4}x - 2@@ represent?

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Front

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Graph both inequalities. The solution is the region where the shaded areas overlap.

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What is the significance of the solution to a system of inequalities?

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The solution represents all possible pairs (x, y) that satisfy all inequalities in the system.