问题
选择题
已知集合A={4,5,7,9},B={3,4,7,8,9},全集U=A∪B,则集合∁U(A∩B)=( )
A.{4,7,9}
B.{5,7,9}
C.{3,5,8}
D.{7,8,9 }
答案
∵集合A={4,5,7,9},B={3,4,7,8,9},
∴全集U=A∪B={3,4,5,7,8,9},A∩B={4,7,9 },
∴集合∁U(A∩B)={3,5,8},
故选C.
已知集合A={4,5,7,9},B={3,4,7,8,9},全集U=A∪B,则集合∁U(A∩B)=( )
A.{4,7,9}
B.{5,7,9}
C.{3,5,8}
D.{7,8,9 }
∵集合A={4,5,7,9},B={3,4,7,8,9},
∴全集U=A∪B={3,4,5,7,8,9},A∩B={4,7,9 },
∴集合∁U(A∩B)={3,5,8},
故选C.