Solving Linear and Absolute Value Equations and Inequalities

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What is a linear equation?

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What is an absolute value equation?

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How do you solve a linear equation?

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To solve a linear equation, isolate the variable on one side of the equation using inverse operations (addition, subtraction, multiplication, division) until the variable is alone.

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What does it mean to solve an absolute value equation?

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To solve an absolute value equation, you set up two separate equations: one for the positive case and one for the negative case, then solve each equation.

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What is the solution set of an inequality?

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The solution set of an inequality is the set of all values that make the inequality true. It can be represented on a number line.

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How do you graph a linear inequality?

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To graph a linear inequality, first graph the corresponding linear equation as a boundary line. Then shade the region that satisfies the inequality.

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

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