Multi-Step Inequalities

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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, distributing, and isolating the variable.

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CCSS.7.EE.B.4B

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What does it mean to flip the inequality sign?

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Flipping the inequality sign occurs when you multiply or divide both sides of an inequality by a negative number.

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CCSS.6.EE.B.8

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CCSS.7.EE.B.4B

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What is the difference between a linear equation and a linear inequality?

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A linear equation states that two expressions are equal, while a linear inequality states that one expression is greater than, less than, or not equal to another.

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What does it mean to combine like terms in an inequality?

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Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

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What is the first step in solving a multi-step inequality?

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