Isolate the absolute value on the left-hand side. How many cases do you have after you remove it?
f=2 or f=8
Practice makes perfect
Before we can solve the given equation, we need to isolate the absolute value expression using the Properties of Equality.
4|f-5|=12 ⇒ |f-5|=3
An absolute value measures an expression's distance from a midpoint on a number line.
|f-5|=3
This equation means that the distance between f and 5 is 3, either in the positive direction or the negative direction.
|f-5|=3 ⇒ lf-5= 3 f-5= - 3
To find the solutions to the absolute value equation, we need to solve both of these cases for f.
