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**Solving an Absolute Value Equation**

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**Solving an Absolute Value Equation**

You have already used graphs and mental math to solve some absolute value equations. For instance: This has two solutions: 8 and -8

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**Solving an Absolute Value Equation**

Solve: In order to solve for x, you have to UNDO the absolute value. What are the number(s) whose absolute value is 9? The absolute value of 9 AND -9 is 9 Find the x that makes 2x-5 equal POSITIVE 9 Find the x that makes 2x-5 equal NEGATIVE 9

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**Solving an Absolute Value Equation**

Solve: In order to solve for x, you have to ISOLATE the absolute value expression In order to solve for x, you have to UNDO the absolute value. What are the number(s) whose absolute value is 15? The absolute value of 15 AND -15 is 9 Find the x that makes 3x equal POSITIVE 15 Find the x that makes 3x equal NEGATIVE 15

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**Solving an Absolute Value Equation**

Solve: In order to solve for x, you have to UNDO the absolute value. What are the number(s) whose absolute value is 0? The absolute value of +0 AND -0 is 0 Since +0 and -0 are the same number. There is only ONE Answer.

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**Solving an Absolute Value Equation**

Solve: In order to solve for x, you have to ISOLATE the absolute value expression What are the number(s) whose absolute value is -3? In order to solve for x, you have to UNDO the absolute value. NOT POSSIBLE The absolute value of a number can not be negative. This equation has NO SOLUTIONS.

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Solving Inequalities with Absolute Value. Things we already know about Inequalities!! >, < : on graph =, ≤, ≥, : on graph When dividing or multiplying.

Solving Inequalities with Absolute Value. Things we already know about Inequalities!! >, < : on graph =, ≤, ≥, : on graph When dividing or multiplying.

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