If set A = {1,2,3,4}. & U={1, 2, 3, 4, 5, 6,
7} then AC is please tell the answer with solution
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Answer:
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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