Draw appropriate Venn diagram for each of the following: (i) (ii) (iii) (iv)

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Solution

(i)

From the above Venn diagram,it is clear that plane portion is ( A∪B )

Therefore, ( A∪B ) ′ will be the total area minus plane area that is shaded area.

(ii)

From the above Venn diagram,it is clear that plane portion is ( A∪B )

Therefore, A′ ∩ B′ will be total area minus plane area that is shaded area.

(iii)

From the above Venn diagram, it is clear that dark portion is A∩B .

Therefore, ( A∩B ) ′ will be the total portion minus dark portion that is shaded portion.

(iv)

From the above Venn diagram, it is clear that dark portion is A∩B .

Therefore, A ′ ∪ B ′ will be total portion minus dark portion that is shaded portion.

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