7. Absolute Value Equations and Inequalities
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How many cases do you have after you remove the absolute value?
Solutions: x=-5 or x=5
Graph:
This equation means that the distance is 5, either in the positive direction or the negative direction. |x|= 5 ⇒ lx= 5 x= - 5 In this case, our absolute value expression is only the variable x, so our equivalent pair of linear equations does not need any more simplifying. Now, let's graph these solutions on a number line.