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**How do I solve absolute value equations and inequalities?**

Wednesday, September 21 Essential Questions How do I solve absolute value equations and inequalities?

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**Solve Absolute Value Equations and Inequalities**

2.2 Solve Absolute Value Equations and Inequalities Example 1 Solve a simple absolute value equation Solve Graph the solution. Write original equation. Write equivalent equations. Solve for x. Simplify. The solutions are ____ and ___. These are the values of x that are ___ units away from ___ on a number line. 6 units 6 units l l l l l l l l l l l l l l l l l

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**Solve Absolute Value Equations and Inequalities**

2.2 Solve Absolute Value Equations and Inequalities Checkpoint. Solve the equation. Then graph the solution 5 units 5 units l l l l l l l l l l l l l l l l l 2 units 2 units l l l l l l l l l l l

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**Solve Absolute Value Equations and Inequalities**

2.2 Solve Absolute Value Equations and Inequalities Example 2 Check for extraneous solutions Solve Check for extraneous solutions. Write original equation. Expressions can equal ____ or _____. Subtract _____ from each side. Solve for x. Check the apparent solutions to see if either is extraneous.

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**Solve Absolute Value Equations and Inequalities**

2.2 Solve Absolute Value Equations and Inequalities Example 2 Check for extraneous solutions Solve Check for extraneous solutions. Check The solution is ___. Reject ____ because it is an ___________ solution. extraneous

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**Solve Absolute Value Equations and Inequalities**

2.2 Solve Absolute Value Equations and Inequalities Checkpoint. Solve the equation. Check for extraneous solutions.

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**Solve Absolute Value Equations and Inequalities**

2.2 Solve Absolute Value Equations and Inequalities Checkpoint. Solve the equation. Check for extraneous solutions.

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**Solve Absolute Value Equations and Inequalities**

2.2 Solve Absolute Value Equations and Inequalities Pg. 31 #1 and 17 Rewrite the absolute value equation as two linear equations. Solve the equation.

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**Solve Absolute Value Equations and Inequalities**

2.2 Solve Absolute Value Equations and Inequalities Example 3 Solve an inequality of the form Solve Then graph the solution. The absolute value inequality is equivalent to First Inequality Second Inequality Write inequalities. Subtract __ from each side. Divide each side by ___. The solution are all real numbers less than ____ or greater than ____. l l l l l l l l l l l l l l l l l

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**Solve Absolute Value Equations and Inequalities**

2.2 Solve Absolute Value Equations and Inequalities Example 4 Solve an inequality of the form Solve Then graph the solution. Write inequality. Write equivalent compound inequality. Add ____ to each expression. The solution is between ____ and ____, inclusive. l l l l l l l l l l l l l l l l l

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**Solve Absolute Value Equations and Inequalities**

2.2 Solve Absolute Value Equations and Inequalities Checkpoint. Solve the inequality. Then graph the solution. l l l l l l l l l l l l l l l l l

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**Solve Absolute Value Equations and Inequalities**

2.2 Solve Absolute Value Equations and Inequalities Checkpoint. Solve the inequality. Then graph the solution. l l l l l l l l l

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**Solve Absolute Value Equations and Inequalities**

2.2 Solve Absolute Value Equations and Inequalities Pg. 32 #21, 24, 36, and 37 Rewrite the absolute value inequality as a compound inequality.

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**Solve Absolute Value Equations and Inequalities**

2.2 Solve Absolute Value Equations and Inequalities Pg. 32 #21, 24, 36, and 37 Solve the inequality.

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**Solve Absolute Value Equations and Inequalities**

2.2 Solve Absolute Value Equations and Inequalities Pg. 32 #21, 24, 36, and 37 Solve the inequality.

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**Solve Absolute Value Equations and Inequalities**

2.2 Solve Absolute Value Equations and Inequalities Pg. 31, 2.2 #1-43 Textbook pg 30 #1-15, 16-28

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