I need to prove that inequality is true:
for
Transforming it we get:
Now, from we get which is true because from first transformation we get that and .
Is this proof valid?
This statement is only true if b - a > 0. An example of how this fails: Set a=4 and b=1 in the original expression. This expression is correct. Your final result, though, predicts that 4 < 1. The reason is in the line above. If b - a is negative, the inequality switches direction.Originally Posted by DenMac21
-Dan