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,

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