How many cases do you have after you remove the absolute value?
x=4 or x=- 4
Practice makes perfect
An absolute value measures an expression's distance from a midpoint on a number line.
|x|=4
This equation means that the distance between x and 0 is 4, either in the positive direction or the negative direction. This can be expressed as a pair of equations equivalent to the absolute value equation.
|x|=4 ⇒ lx= 4 x= - 4