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 '>' 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.

Front

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 a '>' or '<' sign?

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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 '≤' sign?

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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 solution set of a linear inequality?

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The solution set of a linear inequality is the set of all points (x, y) that satisfy the inequality.

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How do you determine which side of the line to shade when graphing a linear inequality?

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You can test a point not on the line (like (0,0)) to see if it satisfies the inequality. If it does, shade that side; if not, shade the opposite side.

Front

What is the slope-intercept form of a linear equation?

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