# Draw appropriate Venn diagram for each of the following:(i) (A ∪ B)′, (ii) A′ ∩ B′, (iii) (A ∩ B)′, (iv) A′ ∪ B′

**Solution:**

Let us draw the appropriate Venn diagram for each of the given sets.

In each of the following diagrams, the shaded region (in yellow) represents the answer.

**(i) **We know that (A υ B)' = U - (A υ B).

Thus, in the Venn diagram of (A υ B)',

we have to shade the entire region of U excluding A υ B.

**(ii) **A' ∩ B'

By a Demorgan law of sets, A' ∩ B' = (A ∪ B)′. Thus, its Venn diagram is as same as that of **(i)**.

**(iii) **We know that (A ∩ B)' = U - (A ∩ B). Thus, in the Venn diagram of (A ∩ B)', we have to shade the entire region of U excluding A ∩ B.

**(iv) **A' υ B'

By a Demorgan law of sets, A' υ B' = (A ∩ B)′. Thus, its Venn diagram is as same as that of **(iii)**.

NCERT Solutions Class 11 Maths Chapter 1 Exercise 1.5 Question 5

## Draw appropriate Venn diagram for each of the following : (i) (A ∪ B)′, (ii) A′ ∩ B′, (iii) (A ∩ B)′, (iv) A′ ∪ B′

**Summary:**

We are asked to draw appropriate Venn diagram for each of the following : (i) (A ∪ B)′, (ii) A′ ∩ B′, (iii) (A ∩ B)′, (iv) A′ ∪ B′. We have drawn the Venn diagrams successfully

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