How many cases do you have after you remove the absolute value?
Solutions: x=5 and x=- 3 Number Line:
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An absolute value measures an expression's distance from a midpoint on a number line.
|x-1|= 4
This equation means that the distance is 4, either in the positive direction or the negative direction.
|x-1|= 4 ⇒ lx-1= 4 x-1= - 4
To find the solutions to the absolute value equation, we need to solve both of these cases for x.