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 is the inequality symbol for 'greater than'?

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The symbol for 'greater than' is >.

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What is the inequality symbol for 'less than or equal to'?

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The symbol for 'less than or equal to' is ≤.

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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 ≥. Shade the region that represents the solution set.

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

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When you multiply or divide both sides of an inequality by a negative number, you must flip the inequality sign.

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