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Absolute Value If ABSOLUTE VALUE represents the distance a number is from zero, means all x values that are 3 units from zero. If given, what are some.

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Presentation on theme: "Absolute Value If ABSOLUTE VALUE represents the distance a number is from zero, means all x values that are 3 units from zero. If given, what are some."— Presentation transcript:

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2 Absolute Value If ABSOLUTE VALUE represents the distance a number is from zero, means all x values that are 3 units from zero. If given, what are some values that make this true? What does mean? ALL x VALUES LESS THAN 3 UNITS FROM 0.

3 If given, what are some values that make this true? What does mean? ALL x VALUES GREATER THAN 3 UNITS FROM 0.

4 Solving and Absolute Value Inequalities: To solve and inequality in the form | A | 0, solve the compound inequality: Graph: For Graph:

5 Solving and Absolute Value Inequalities: To solve and inequality in the form | A | > b where A is a variable expression and b > 0, solve the compound inequality: Graph: For Graph:

6 In General with Absolute Value Inequalities: LESS THAN means “WITHIN” GREATER(GREAT “OR”) THAN means EITHER/OR

7 Examples: Solve and Graph the following inequalities: 1)

8 2)

9 3)

10 4)

11 Homework : Section 3.7B pages 228-229 #’s 6-24 EVEN, 25-28 ALL


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