Something Easier. Absolute value.
The notation for Absolute value is . Note that
.
represents
when
,
when
and lastly
when
.
Absolute value is defined as the geometric distance from to 0.
Basically, when solving Absolute Value equations, you must split up the possibilities and consider all cases as to what can be, substitute the solutions back into the equation and see what works.
Cool fact: . Usually, we go straight to
, which is actually
.
However, the absolute value is important as might take a negative value.
Try:
Solve for x here:
and
Find all possible values of this: .
Thx,
etzhkysy