2.4 Multistep Inequalities Flashcard

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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 operations such as addition, subtraction, multiplication, or division.

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Distribute and simplify to find that the solution is 'All Real Numbers'.

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It indicates that n must be less than -1 to satisfy the inequality.

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It represents a condition where x must be less than or equal to 0.

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It means that m can be any number greater than or equal to -5.

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What is the first step in solving a multistep inequality?

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The first step is to isolate the variable on one side of the inequality.

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What does it mean if an inequality has 'no solution'?

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It means that there are no values for the variable that can satisfy the inequality.

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What is the significance of reversing the inequality sign?

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The inequality sign must be reversed when multiplying or dividing both sides by a negative number.

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What is the difference between 'strict' and 'non-strict' inequalities?

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Strict inequalities (<, >) do not include the boundary value, while non-strict inequalities (≤, ≥) do include it.