Solving and Graphing 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 operations such as addition, subtraction, multiplication, or division.

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What does it mean to graph an inequality?

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Graphing an inequality means representing the solutions of the inequality on a number line or coordinate plane, showing where the inequality holds true.

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What is the difference between '<' and '≤'?

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The symbol '<' means 'less than' and does not include the endpoint, while '≤' means 'less than or equal to' and includes the endpoint.

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What is the first step in solving a multistep inequality?

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The first step is usually to isolate the variable term on one side of the inequality by performing inverse operations.

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How do you represent the solution of an inequality on a number line?

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You use an open circle for '<' or '>' and a closed circle for '≤' or '≥', shading the region that represents the solution.

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What happens to the inequality sign when you multiply or divide by a negative number?

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When you multiply or divide both sides of an inequality by a negative number, you must flip the inequality sign.

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How do you check if a number is a solution to an inequality?

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Substitute the number into the inequality. If the inequality holds true, then the number is a solution.

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What is a compound inequality?

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A compound inequality combines two inequalities, often using 'and' or 'or', to describe a range of values.