U = {x 1 x e N, 1 < x < 10] A= (1,2, 3,4, 5}, B= {4, 5, 7, 8, 9}. What is A'N B'=?
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Given, universal set, U={1,2,3,4,5,6,7}
A={1,2,5,7}
B={3,4,5,6}
(A∪B)
′
=U−(A∪B)
={1,2,3,4,5,6,7}−{1,2,3,4,5,6,7}
=ϕ
A
′
∩B
′
=(U−A)n(U−B)
={3,4,6}n{1,2,7}
=ϕ
Hence (A∪B)
′
=A
′
∩B
′
.
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