Honors Solving Absolute Value Equations

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What is an absolute value equation?

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An absolute value equation is an equation that contains an absolute value expression, which measures the distance of a number from zero on the number line.

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How do you solve an absolute value equation?

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

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What does it mean if an absolute value equation has no solution?

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An absolute value equation has no solution if the expression inside the absolute value cannot equal a negative number.

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The equation has no solution because absolute values cannot be negative.

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