Solving inequalities

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What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality signs such as <, >, ≤, or ≥.

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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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Back

Combine like terms.

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

Back

The inequality sign flips (e.g., < becomes >).

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

Back

Strict inequalities use < or >, while non-strict inequalities use ≤ or ≥.

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How do you graph an inequality on a number line?

Back

Use an open circle for < or > and a closed circle for ≤ or ≥, then shade the appropriate region.

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What does the solution set of an inequality represent?

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It represents all possible values of the variable that satisfy the inequality.

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What is the importance of combining like terms in inequalities?

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Combining like terms simplifies the inequality, making it easier to solve.