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 '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 '≥' mean in a linear inequality?

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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 graphing a linear inequality with '>' or '<', what type of line is used?

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A dashed line is used to indicate that the points on the line are not included in the solution.

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When graphing a linear inequality with '≥' or '≤', what type of line is used?

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A solid line is used to indicate that the points on the line are included in the solution.

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How do you determine the solution set of a linear inequality?

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The solution set is determined by shading the region of the graph that satisfies the inequality.

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What is the general form of a linear inequality in two variables?

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

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