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Big Ideas Math Integrated I, 2016 View details

4. Solving Absolute Value Equations

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Exercise 11 Page 32

How many cases do we have after we remove the absolute value?

Solutions: w=6 and w=- 6
Number Line:

Practice makes perfect

An absolute value measures an expression's distance from a midpoint on a number line. |w|= 6This equation means that the distance is 6, either in the positive direction or the negative direction. |w|= 6 ⇒ lw= 6 w= - 6 Both 6 and - 6 are solutions to the absolute value equation. Let's graph these solutions on a number line.