U={x|x=2n-1,n∈n+,n小於等於7},A∩(CuB)={3,7},Cua∩B={9,13},CuA∩CuB={1,11},求A,B

U={x|x=2n-1,n∈n+,n小於等於7},A∩(CuB)={3,7},Cua∩B={9,13},CuA∩CuB={1,11},求A,B


U={x|x=2n-1,n∈n+,n小於等於7}={1,3,5,7,9,11,13}
A∩(CuB)={3,7}得3,7屬於A,不屬於B
Cua∩B={9,13}得9,13屬於B,不屬於A
CuA∩CuB={1,11}得A∪B={3,5,7,9,13}
可得A={3,7}或{3,5,7},B={9,13}或{5,9,13}
又,當A={3,7},B={9,13}時,A∪B≠{3,5,7,9,13}(舍)
當A={3,5,7},B={9,13}時,A∩(CuB)={3,5,7}≠{3,7}(舍)
當A={3,7},B={5,9,13}時,Cua∩B={5,9,13}≠{9,13}(舍)
故A={3,5,7},B={5,9,13}



急全集U=R,A={x|x ²;>4},B={x|x>3},求A∪B,A∩B,CuA∩B,A∪CuB
急全集U=R,A={x|x ²;>4},B={x|x>3},求A∪B,A∩B,CuA∩B,A∪CuB


A∪B ={x|x2}
A∩B={x|x>3}
CuA∩B =空集
A∪CuB=R



已知全集U=A∪B={x∈N|0≤x≤10},A∩(∁UB)={1,3,5,7},求集合B.


U=A∪B={x∈N|0≤x≤10}={0,1,2,3,4,5,6,7,8,9,10},{1,3,5,7}⊆A,而B中不包含{1,3,5,7},用Venn圖表示如圖∴B={0,2,4,6,8,9,10}.



已知全集U=AUB={x∈N∣0≤x≤10},A∩(CuB)={1,3,5,7},試求集合B.
一定得很詳細啊,不然我不得懂的餓.


U=A∪B={0,1,2,3,4,5,6,7,8,9,10}.
∵A∩(CuB)={1,3,5,7},
∴元素1,3,5,7屬於集合A,1.3.5.7也屬於B集合的補集
CuB={1,3,5,7},意思就是B集合中不包含1.3.5.7,
所以B集合應該是除1.3.5.7以外的所有全集所包含的數.
∵U=A∪B,
∴B={0,2,4,6,8,9,10}