NCERT Class XI Mathematics - Sets - Solutions
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Question : 47
Total: 73
Draw appropriate Venn diagram for each of the following :
(i) (A ∪ B)′ (ii) A′ ∩ B′ (iii) (A ∩ B)′ (iv) A′ ∪ B′
(i) (A ∪ B)′ (ii) A′ ∩ B′ (iii) (A ∩ B)′ (iv) A′ ∪ B′
Solution:
(i) The Venn diagram for (A ∪ B)′.
The shaded portion represents (A ∪ B)′.
(ii) The Venn diagram for A′ ∩ B′.
The shaded portion represents A′ ∩ B′
(iii) The Venn diagram for (A ∩ B)′.
The shaded portion represents (A ∩ B)′.
(iv) The Venn diagram for A′ ∪ B′.
The shaded portion represents A′ ∪ B′.
The shaded portion represents (A ∪ B)′.
(ii) The Venn diagram for A′ ∩ B′.
The shaded portion represents A′ ∩ B′
(iii) The Venn diagram for (A ∩ B)′.
The shaded portion represents (A ∩ B)′.
(iv) The Venn diagram for A′ ∪ B′.
The shaded portion represents A′ ∪ B′.
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