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设全集U={x|x为小于20的正偶数},A∩(B的补集)={12,14},(A的补集)∩(B的补集)=空集,(A的补集)∩B={2,4,16,18},则A=

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U={2,4,6,8,10,12,14,16,18},
A∩(B的补集)={12,14},(A的补集)∩(B的补集)= 空集,
(A∩(B的补集))∪((A的补集)∩(B的补集))
=(B的补集)∩(A∪(A的补集))=B的补集∩全集 =B的补集={12,14},
B={2,4,6,8,10,16,18},又(A的补集)∩B={2,4,16,18},A∩(B的补集)={12,14},
所以(A的补集)={2,4,16,18},A={6,8,10,12,14}