Multi-Step Inequalities and Variables on Both Sides

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What is a multi-step inequality?

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A multi-step inequality is an inequality that requires more than one step to solve, often involving combining like terms, adding or subtracting, and multiplying or dividing by a number.

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What does it mean when an inequality has variables on both sides?

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It means that the variable appears on both sides of the inequality sign, requiring manipulation to isolate the variable on one side.

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What is the first step in solving an inequality?

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The first step is to simplify both sides of the inequality, if possible, by combining like terms.

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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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What is an inequality?

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