问题
选择题
设集合A={1,2,3,5,7},B={x∈Z|1<x≤6},全集U=A∪B,则A∩CUB=( )
A.{1,4,6,7}
B.{2,3,7}
C.{1,7}
D.{1}
答案
∵B={x∈Z|1<x≤6}={2,3,4,5,6},集合A={1,2,3,5,7},
∴全集为U=A∪B={1,2,3,4,5,6,7},
∴CUB={1,7},
则A∩CUB={1,7}.
故选C
设集合A={1,2,3,5,7},B={x∈Z|1<x≤6},全集U=A∪B,则A∩CUB=( )
A.{1,4,6,7}
B.{2,3,7}
C.{1,7}
D.{1}
∵B={x∈Z|1<x≤6}={2,3,4,5,6},集合A={1,2,3,5,7},
∴全集为U=A∪B={1,2,3,4,5,6,7},
∴CUB={1,7},
则A∩CUB={1,7}.
故选C