Write the following expression without using the absolute value.
|u - v|/|v - u| if u does not = v, u does not = 0 and v does not = 0.
When a>b, what's the difference between (a-b) and (b-a)? The sign of the answer, positive or negative. The magnitude of the answer is still the same though. Try out some examples to see for yourself. What does the absolute value of anything do in the simplest sense? It makes any value positive, thus taking away its sign but leaving the magnitude? See where I'm going?