We know that a > b. And we have the next two expressions
-
![(a-b)/(8)](https://img.qammunity.org/2023/formulas/mathematics/college/ro926i1sxftt2qgwxyo5d75cxjwpq4zho9.png)
-
![a-(b)/(8)](https://img.qammunity.org/2023/formulas/mathematics/college/fkat1ir7nd7uy5q2oebnqwyeh0ayuwdjzp.png)
The first equation we can rewrite as
![(a)/(8)-(b)/(8)](https://img.qammunity.org/2023/formulas/mathematics/college/wdggxorrt3ap23lhehjima188y097hglhr.png)
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,
![a-(b)/(8)>(a)/(8)-(b)/(8)](https://img.qammunity.org/2023/formulas/mathematics/college/tmbs8t6t9upnht2rvh5gulduinywsmq6x1.png)
Finally, the answer is
[tex]\frac{a-b}{8}