Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
4. Solving Absolute Value Equations
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Exercise 3 Page 28

Solution:
Number Line:

Practice makes perfect
An absolute value represents distance and, therefore, is always non-negative. |x|=x and |- x|=x

This means that, no matter what value you substitute for x, the absolute value equation will never equal - 3. |3+x|≠ - 3 Therefore, there are no solutions to this absolute value equation. Let's graph this on a number line.