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Solving Inequalities with Absolute Value

Solving Inequalities with Absolute Value. Standards M8A2. Student will understand and graph inequalities in one variable. b. Use the properties of inequality to solve inequalities. c. Graph the solution of an inequality on a number line.

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Solving Inequalities with Absolute Value

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  1. Solving Inequalities with Absolute Value Standards M8A2. Student will understand and graph inequalities in one variable. b. Use the properties of inequality to solve inequalities. c. Graph the solution of an inequality on a number line. EQ: How do I solve and graph an inequality that includes absolute value?

  2. Things we already know about Inequalities!! >, < on graph =, ≤, ≥, on graph • When dividing or multiplying by a NEGATIVE number, we reverse the inequality symbol!!

  3. Steps for Solving Inequalities with Absolute Values • Make sure Absolute Value is isolated! (Are there numbers not in the absolute value symbol?) **Don’t forget when dividing or multiplying by negative number, reverse inequality symbol** • Write 2 Inequalities: A. One inequality has EXACT inequality = positive answer B. One inequality has REVERSE inequality = negative answer 3. Solve Inequalities following inequality rules!! 4. Graph on number line using inequality rules!!

  4. Let’s Goooooooooooooo!!! 1. |n + 2| < 2 • Graph your solution.

  5. 2. |-6 + n| > 12 • Graph your solution.

  6. 3. | 3x | + 4 < 34 • Graph your solution.

  7. Graph your solution.

  8. 5. | -8x – 10 | < 58 • Graph your solution.

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