A=｛x|-1≤x＜2},B={x|2a-1＜x＜a},
∵A交B＝空集
1)当2a-1≥a时,B=Φ符合题意
此时a≥1
2) B≠Φ时,
{2a-1{a<-1或2a-1≥2
==>
{a<1
{a<-1或a≥3/2
==>
a<-1
综上,a∈(-∞,-1)U[1,+∞)