Starting with what we know:

is the same as:


Now, let's use our inequality and bring it into our equation.
Since a > b and b >0, then a > 0
Thus, we can multiply both sides by a, b, or c since they are all positive values.
We can say:

, since b > 0
Similarly,

and

Now, we've got values for ab, ac, and bc.
Using this information back into our original equation:

Since

, then we can say:

and

as required.