Inequalities with Two Variables

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What is an inequality with two variables?

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An inequality with two variables is a mathematical statement that compares two expressions using inequality symbols (like <, >, ≤, or ≥) 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 ordered pairs (x, y) that satisfy the inequality.

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

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How do you determine if a point is a solution to an inequality?

Back

To determine if a point is a solution to an inequality, substitute the x and y values of the point into the inequality. If the inequality holds true, then the point is a solution.

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What is an ordered pair in the context of inequalities?

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An ordered pair is a pair of numbers (x, y) that represents a point on the Cartesian plane.