Question

设全集U＝A∪B＝{x∈N^*|lgx＜1}，若A∩(∁_UB)＝{m|m＝2n＋1，n＝0,1,2,3,4}，则集合B＝________.

Answer 1

解析：A∪B＝{x∈N^*|lgx＜1}＝{1,2,3,4,5,6,7,8,9}，A∩(∁_UB)＝{m|m＝2n＋1，n＝0,1,2,3,4}＝{1,3,5,7,9}，∴B＝{2,4,6,8}．

答案：{2,4,6,8}