问题
填空题
设集合A={4,5,7,9},B={3,4,7,8,9},全集U=A∪B,则集合∁U(A∩B)中元素个数为______.
答案
∵集合A={4,5,7,9},B={3,4,7,8,9},全集U=A∪B,
∴U=A∪B={3,4,5,7,8,9},
∵A∩B={4,7,9},
∴CU(A∩B)={3,5,8},
共3个元素,
故答案为3.
设集合A={4,5,7,9},B={3,4,7,8,9},全集U=A∪B,则集合∁U(A∩B)中元素个数为______.
∵集合A={4,5,7,9},B={3,4,7,8,9},全集U=A∪B,
∴U=A∪B={3,4,5,7,8,9},
∵A∩B={4,7,9},
∴CU(A∩B)={3,5,8},
共3个元素,
故答案为3.