Multistep Inequalities with Variables on Both Sides

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What is a multistep inequality?

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A multistep 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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How do you solve an inequality with variables on both sides?

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To solve an inequality with variables on both sides, first isolate the variable by moving all terms involving the variable to one side and constant terms to the other side, then simplify and solve.

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What does it mean when an inequality has a 'greater than or equal to' symbol (≥)?

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It means that the value on the left side of the inequality is either greater than or equal to the value on the right side.

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What does it mean when an inequality has a 'less than' symbol (<)?

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It means that the value on the left side of the inequality is strictly less than the value on the right side.

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Combine like terms on both sides of the inequality.

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How do you check the solution of an inequality?

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Substitute the solution back into the original inequality to see if it holds true.

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What does it mean when an inequality has a 'less than or equal to' symbol (≤)?

Back

It means that the value on the left side of the inequality is either less than or equal to the value on the right side.

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