Solving and Graphing Inequalities

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What is an inequality?

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An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

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What does it mean to solve an inequality?

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To solve an inequality means to find all values of the variable that make the inequality true.

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How do you graph an inequality on a number line?

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To graph an inequality, use an open circle for < or > and a closed circle for ≤ or ≥, then shade the region that represents the solution.

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What does it mean when an inequality has no solution?

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An inequality has no solution when there are no values that satisfy the inequality, often resulting in a contradiction.

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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 point, while non-strict inequalities (≤, ≥) do include the boundary point.