We discuss the finite-time synchronization of a class of delayed inertial neural networks. Getting rid of utilizing some finite-time synchronization theorems and integral inequality skills used in Zhang et al. (2018), by making good use of new inequality skills, two new concise and easily tested criteria to assure the finite-time synchronization for the discussed delayed master-slave inertial neural networks are acquired. The craftsmanship and results of finite-time synchronization for the master-slave neural networks are different from those in some recent works, consequently, our study on the finite-time synchronization of neural networks has definite significance.