If A = {1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 }
B ={ 2, 4, 6 ,8 , 10 }
C = { 1 , 3, 5 , 7, 9}
Find :-
i) A - ( B ∪ C)
ii) ( A - B ) ∩ ( A- C)
what do you observe ?
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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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