x?2m<0…① x+m>2…② ,解①得:x<2m,解②得:x>2-m,根据题意得:2m>2-m,解得:m> 2 3 .故答案是:m> 2 3 .
解:x-2m<0①x+m>2②,解不等式①得,x<2m,解不等式②得,x>2-m,∵不等式组有解,∴2m>2-m,∴m>23.故选C.