Graphing Linear Inequalities Flashcard Review

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What is a linear inequality?

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A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols (>, <, ≥, ≤). It represents a region of the coordinate plane.

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What does the graph of a linear inequality represent?

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The graph of a linear inequality represents all the solutions to the inequality, which is typically a shaded region on one side of the boundary line.

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

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

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

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

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What is the slope-intercept form of a linear equation?

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What does the term 'solution set' mean in the context of inequalities?

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The solution set is the collection of all points (x, y) that satisfy the inequality.

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What is the significance of the y-intercept in graphing linear inequalities?

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The y-intercept is the point where the line crosses the y-axis, and it helps in plotting the line for the inequality.

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