Multistep Inequalities

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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, distributing, and isolating the variable.

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

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

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How do you check the solution of an inequality?

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Substitute a value from the solution set back into the original inequality to see if it holds true.

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What is the importance of isolating the variable in inequalities?

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Isolating the variable helps to clearly identify the range of values that satisfy the inequality.