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 an inequality?

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The symbol '≥' means 'greater than or equal to', indicating that the value can be either greater than or equal to a specified number.

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What does the symbol '≤' mean in an inequality?

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The symbol '≤' means 'less than or equal to', indicating that the value can be either less than or equal to a specified number.

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How do you determine if a line in a graph is solid or dashed?

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A solid line indicates that the inequality includes equality (≥ or ≤), while a dashed line indicates that it does not include equality (> or <).

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What is the solution set of an inequality?

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The solution set of an inequality is the set of all values that satisfy the inequality.

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What is the difference between strict and non-strict inequalities?

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Strict inequalities (<, >) do not include the boundary value, while non-strict inequalities (≤, ≥) do include the boundary value.

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