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Absolute Value Equations

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Presentation on theme: "Absolute Value Equations"— Presentation transcript:

1 Absolute Value Equations

2 Absolute Value Recall that the absolute value of a number is that number’s distance from zero on a number line. For example, −5 = 5 and 5 = 5

3 Absolute Value Equations

4 Solving Absolute-Value Equations

5 Solving Absolute-Value Equations

6 Steps for Solving Absolute-Value Equations

7 Special Cases of Absolute-Value Equations

8 Guided Practice Guided Practice P. 57 #’s 1-28 Even
My.HRW Assignment tonight for Study Skills. Must be completed by tomorrow morning to avoid points off.

9 Absolute Value Inequalities

10 Absolute-Value Inequalities
When an inequality contains an absolute-value expression, it can be written as a compound inequality. The inequality 𝑥 <5 describes all real numbers whose distance from 0 is less than 5 untis. The solutions are all numbers between -5 and 5, so 𝑥 <5 can be written as −5<𝑥< 5 or as 𝑥≻5 𝐴𝑁𝐷 𝑥<5

11 Solving Absolute-Value Inequalities involving <

12 Solving Absolute-Value Inequalities involving <

13 Solving Absolute-Value Inequalities involving >

14 Solving Absolute-Value Inequalities involving >

15 Special Cases of Absolute-Value Inequalities

16 Guided Practice Guided Practice p. 145 #’s 2-30 Even


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