∵不等式ax+b>0的解集为{x|x<1},∴1是方程ax+b=0的解,且a<0,∴a+b=0(a<0),∴ ax+b x2?5x?6 >0? a(x?1) (x?6)(x+1) >0? (x?1) (x?6)(x+1) <0,由标根法得x<-1或1<x<6.∴原不等式的解集为:{x|x<-1或1<x<6}.故答案为:{x|x<-1或1<x<6}.