If U={2,3,4,5},A={2,4} and B={3,4}
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Step-by-step explanation:
U={1,2,3,4,5,6,7,8,9}
A={2,4,6,8}
B={2,3,5,7}
(i) (A∪B)
′
={2,3,4,5,6,7,8}
′
={1,9}
A
′
∩B
′
={1,3,5,7,9}∩{1,4,6,8,9}={1,9}
∴(A∪B)
′
=A
′
∩B
′
(ii) (A∩B)
′
={2}
′
={1,3,4,5,6,7,8,9}
A
′
∪B
′
={1,3,5,7,9}∪{1,4,6,8,9}={1,3,4,5,6,7,8,9}
∴(A∩B)
′
=A
′
∪B
′
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