If M = {1,2,3,4,5}, A ={2,4} then find
i) AUA'
ii)ANA'
iii) What do you notice
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Step-by-step explanation:
(i) It can be clearly seen from the Venn diagram that
A∪A
′
=U
(ii) ϕ
′
∩A=U∩A=A
∴ϕ
′
∩A=A
(iii) It can be clearly seen from the Venn diagram , there is no common portion between A and A' .
Hence, A∩A
′
=ϕ
(iv) U
′
∩A=ϕ∩A=ϕ
∴U
′
∩A=ϕ
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