5.20.24 - A.5B Solving Linear Inequalities in One Variable

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Define a linear inequality in one variable.

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What is the solution set of a linear inequality?

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The solution set of a linear inequality is the set of all values of the variable that make the inequality true, often represented on a number line.

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

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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 graph a linear inequality on a number line?

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To graph a linear inequality, use an open circle for strict inequalities and a closed circle for non-strict inequalities, then shade the appropriate side of the number line.