Alg 1. Graphing Inequalities in two variables

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What is an inequality in two variables?

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An inequality in two variables is a mathematical statement that compares two expressions using inequality symbols (>, <, ≥, ≤) and involves two variables, typically x and y.

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What does the graph of an inequality represent?

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The graph of an inequality represents all the solutions that satisfy the inequality, often shown as a shaded region on a coordinate plane.

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

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A solid line indicates that points on the line are included in the solution (≥ or ≤), while a dashed line indicates that points on the line are not included (> or <).

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How do you graph the inequality @@y ge 4x + 7@@?

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What does shading above or below a line indicate in graphing inequalities?

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Shading above the line indicates that the solutions are greater than the line, while shading below indicates that the solutions are less than the line.

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What is the significance of the boundary line in graphing inequalities?

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The boundary line separates the solutions of the inequality from the non-solutions, indicating where the inequality holds true.