With an increase in the mass number A , the binding energy per...

The binding energy per nucleon curve shows that for low mass numbers, the binding energy per nucleon generally increases with an increase in mass number $A$.

It reaches a maximum value of about $8.8 \text{ MeV}$ for $A \approx 56$ (Iron).

For mass numbers greater than $56$, the binding energy per nucleon gradually decreases, reaching about $7.6 \text{ MeV}$ for Uranium.

Therefore, the binding energy per nucleon does not monotonically increase or decrease, but varies in a manner dependent on the specific value of the mass number $A$.