Unit 2: Analyzing Linear Inequalities Fall 2024 Final 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 (such as <, >, ≤, or ≥).

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What does the symbol '≤' represent in linear inequalities?

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The symbol '≤' means 'less than or equal to', indicating that the value on the left can be less than or equal to the value on the right.

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What does the symbol '≥' represent in linear inequalities?

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The symbol '≥' means 'greater than or equal to', indicating that the value on the left can be greater than or equal to the value on the right.

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When do you use a solid line when graphing inequalities?

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A solid line is used when the inequality includes '≤' or '≥', indicating that points on the line are included in the solution set.

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When do you use a dashed line when graphing inequalities?

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A dashed line is used when the inequality includes '<' or '>', indicating that points on the line are not 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 is a solution, substitute the x and y values of the point into the inequality. If the inequality holds true, the point is a solution.

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