Graphing Linear Inequalities

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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 '>' indicate in a linear inequality?

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

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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 is less than the value on the right.

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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 is greater than or equal to the value on the right.

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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 is less than or equal to the value on the right.

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How do you graph a linear inequality with a '>' or '<' symbol?

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You use a dashed line to represent the boundary, indicating that points on the line are not included in the solution.

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How do you graph a linear inequality with a '≥' or '≤' symbol?

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You use a solid line to represent the boundary, indicating that points on the line are included in the solution.

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What does the shaded area represent in the graph of a linear inequality?

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The shaded area represents all the solutions to the inequality, where the inequality holds true.

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