Graph 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 (>, <, ≥, ≤).

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

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

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What does the symbol '<' mean in a linear inequality?

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The symbol '<' means that the value on the left is less than the value on the right.

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What does the symbol '≥' mean in a linear inequality?

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The symbol '≥' means 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 '≤' mean in a linear inequality?

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The symbol '≤' means 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 '>' or '<'?

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You use a dotted 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 '≥' or '≤'?

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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 is the shading in a graph of a linear inequality used for?

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Shading indicates the region of the graph that satisfies the inequality.

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