Solving 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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What does it mean if an inequality is true for a certain value?

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It means that when you substitute that value into the inequality, the resulting statement is valid (e.g., it holds true).

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What is the significance of flipping the inequality sign when multiplying or dividing by a negative number?

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Flipping the inequality sign ensures that the relationship between the two sides of the inequality remains valid.

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What is a solution set in the context of inequalities?

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A solution set is the set of all values that satisfy the inequality.

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How can you represent the solution to an inequality graphically?

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You can represent the solution on a number line, using an open circle for non-inclusive inequalities and a closed circle for inclusive inequalities.