There are two problems in zoning the strong motion area by means of pattern recognition.One is how to decide whether the training set is divi-sible linearly,which is directly related to the problem of convergence of the iteration process.The other problem is the conflicting results of pred-iction that come from the differences of recognition functions which are brought about by the fact that the solution of training is not unique.In this paper these two problems are discussed according to the theory of system of linearly inequalities and a preliminary result has been obtain-ed.