题目是错的,下面举个反例:A={1,2,3}, B={2,3},C={1,2}B-C={3} A-(B-C)={1,2}A-B={1}A-C={3}(A-B)∪(A-C)={1,3}
错误正确的说法是:A-(B-C)=(A-B)∪C