Expressions, Equations and Inequalities Ch. 1.6 Absolute Value Equations and Inequalities EQ: How can you solve absolute value equations and inequalities?

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Expressions, Equations and Inequalities Ch. 1.6 Absolute Value Equations and Inequalities EQ: How can you solve absolute value equations and inequalities? I Will solve absolute value equations and inequalities.

Bell Work Solve the inequality. Graph the solution y > (x+3) < 44 EQ: How can you solve absolute value equations and inequalities? I Will solve absolute value equations and inequalities.

Absolute Value Equations and Inequalities READ Absolute value is of central importance in mathematics itself. As a rule, absolute value equations have two solutions, representing two points on a number line that are at the same distance from a certain number. For inequalities, there are two possible situations depending on the sign of the inequality (see key concept on pg. 41). EQ: How can you solve absolute value equations and inequalities? I Will solve absolute value equations and inequalities.

Solving Inequalities  linear-equations-and-inequalities/absolute-value- equations/v/absolute-value-equations-example-1 linear-equations-and-inequalities/absolute-value- equations/v/absolute-value-equations-example-1 EQ: How can you solve absolute value equations and inequalities? I Will solve absolute value equations and inequalities.

Solving an Absolute Value Equation What is the solution of |2x – 1| = 5? Graph the solution. EQ: How can you solve absolute value equations and inequalities? I Will solve absolute value equations and inequalities.

Solving an Absolute Value Equation Now you try… What is the solution of |3x+2| = 4? Graph the solution. EQ: How can you solve absolute value equations and inequalities? I Will solve absolute value equations and inequalities.

Solving a multi-step absolute value equation What is the solution of 3|x+2| -1 = 8? Graph the solution. EQ: How can you solve absolute value equations and inequalities? I Will solve absolute value equations and inequalities.

Solving a multi-step absolute value equation Now you try… What is the solution of 2|x+9| + 3 = 7? Graph the solution. EQ: How can you solve absolute value equations and inequalities? I Will solve absolute value equations and inequalities.

Checking for Extraneous Solutions Extraneous solution- solution derived from an original equation that is not a solution of the original equation. What is the solution of |3x + 2| = 4x + 5? Check for extraneous solutions. EQ: How can you solve absolute value equations and inequalities? I Will solve absolute value equations and inequalities.

Checking for Extraneous Solutions Now you try… What is the solution of |5x-2| = 7x+14? Check for extraneous solutions. EQ: How can you solve absolute value equations and inequalities? I Will solve absolute value equations and inequalities.

Solving the Absolute Value Inequality |A| < b What is the solution of |2x-1|< 5? Graph the solution. EQ: How can you solve absolute value equations and inequalities? I Will solve absolute value equations and inequalities.

Solving the Absolute Value Inequality |A|< b Now you try… What is the solution of |3x-4| < 8? Graph the solution. EQ: How can you solve absolute value equations and inequalities? I Will solve absolute value equations and inequalities.

Solving the Absolute Value Inequality |A| > b What is the solution of |2x +4| > 6? EQ: How can you solve absolute value equations and inequalities? I Will solve absolute value equations and inequalities.

Solving the Absolute Value Inequality |A| > b Now you try… What is the solution of |5x+10| > 15? Graph the solution. EQ: How can you solve absolute value equations and inequalities? I Will solve absolute value equations and inequalities.

Closure Explains what it means for the solution of an equation to be extraneous. EQ: How can you solve absolute value equations and inequalities? I Will solve absolute value equations and inequalities.