Mastering Multi-Step Inequalities

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What is a multi-step inequality?

Back

A multi-step inequality is an inequality that requires more than one step to solve, often involving operations such as addition, subtraction, multiplication, or division.

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When do you flip the inequality symbol?

Back

You flip the inequality symbol when you multiply or divide both sides of the inequality by a negative number.

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Subtract 1 from both sides to isolate the term with x.

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What does the solution set of an inequality represent?

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The solution set represents all the values that satisfy the inequality.

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What is the difference between a strict and non-strict inequality?

Back

A strict inequality (e.g., < or >) does not include the boundary point, while a non-strict inequality (e.g., ≤ or ≥) does include the boundary point.

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How do you graph the solution set of an inequality?

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You graph the solution set on a number line, using an open circle for strict inequalities and a closed circle for non-strict inequalities.