Solving 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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What happens to the inequality sign when you multiply or divide by a negative number?

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The inequality sign flips when you multiply or divide both sides of the inequality by a negative number.

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What does the graph of an inequality represent?

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The graph of an inequality represents all the solutions to the inequality on a number line.

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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.

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How do you check if a value is a solution to an inequality?

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Substitute the value into the inequality and see if the statement is true.

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