We know that a > b. And we have the next two expressions
-
[tex]\frac{a-b}{8}[/tex]-
[tex]a-\frac{b}{8}[/tex]The first equation we can rewrite as
[tex]\frac{a}{8}-\frac{b}{8}[/tex]We can see that in the equations we must substract something - b/8
In the first equation we substract a/8 - b/8 and in the second equation we substrac a - b/8.
We know that a > a/8
so,
[tex]a-\frac{b}{8}>\frac{a}{8}-\frac{b}{8}[/tex]Finally, the answer is
[tex]\frac{a-b}{8}