Question

设AB是非空集合，定义A*B={x|x∈A∪B且x∉A∩B,

设AB是非空集合，定义A*B={x|x∈A∪B且x∉A∩B},已知A={x|根号下2x-x2}B={y|y=x+1/x-1，x＞1}则A*B=

Answer 1

2x-x^2>=0,知0<=x<=2,且y=1+(2/(x-1)),易知1<y,由数轴得得A*B=={x|0<=x<=1或x>2}

Answer 2

解：2x-x^2>=0,知0<=x<=2,且y=1+(2/(x-1)),易知1<y,
由数轴得得A*B=={x|0<=x<=1或x>2}