[5] U5D8 Mix Practice (3)

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What is a linear inequality?

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A linear inequality is a mathematical statement that relates a linear expression to a value using inequality symbols such as <, >, ≤, or ≥.

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What does the symbol '>' indicate in a linear inequality?

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The symbol '>' indicates that the value on the left side of the inequality is greater than the value on the right side.

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What does the symbol '≤' indicate in a linear inequality?

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The symbol '≤' indicates that the value on the left side of the inequality is less than or equal to the value on the right side.

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How do you graph a linear inequality?

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To graph a linear inequality, first graph the corresponding linear equation as a boundary line. Use a dashed line for < or > and a solid line for ≤ or ≥. Then shade the appropriate region based on the inequality.

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What is the solution set of a system of linear inequalities?

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The solution set of a system of linear inequalities is the region where the shaded areas of all inequalities overlap on a graph.

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What is the significance of the boundary line in a linear inequality?

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The boundary line represents the values that make the inequality an equation. Depending on the inequality symbol, the line may or may not be included in the solution set.

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What is the difference between strict and non-strict inequalities?

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Strict inequalities (<, >) do not include the boundary line, while non-strict inequalities (≤, ≥) do include 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 coordinates of the point into the inequality. If the inequality holds true, the point is a solution.

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