Linear Inequalities In Two Variables

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What is a linear inequality in two variables?

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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 (ordered pairs) that satisfy the inequality. It divides the coordinate plane into two regions: one that satisfies the inequality and one that does not.

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

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

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

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

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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 (x, y) is a solution to a linear inequality, substitute the x and y values into the inequality. If the inequality holds true, then the point is a solution.

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What does the shaded region in a graph of a linear inequality indicate?

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The shaded region in a graph of a linear inequality indicates all the possible solutions that satisfy the inequality.

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What is an ordered pair?

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An ordered pair is a pair of numbers used to represent a point in a coordinate plane, written in the form (x, y).

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