Solve and Graph Two-Step Inequalities

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What is a two-step inequality?

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A two-step inequality is an inequality that requires two operations to isolate the variable. It typically involves addition or subtraction followed by multiplication or division.

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What does it mean to graph an inequality?

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Graphing an inequality involves representing the solutions of the inequality on a number line, using an open or closed circle to indicate whether the endpoint is included.

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

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

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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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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.