# If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8} and D = {7, 8, 9, 10}; find

(i) A υ B (ii) A υ C (iii) B υ C (iv) B υ D (v) A υ B υ C

(vi) A υ B υ D (vii) B υ C υ D

**Solution:**

The given sets are

A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8} and D = {7, 8, 9, 10}

The union of two sets A and B is a set that is obtained by writing all the elements of sets A and B by avoiding duplicates.

Then

**(i)** A υ B = {1, 2, 3, 4, 5, 6}

**(ii)** A υ C = {1, 2, 3, 4, 5, 6, 7, 8}

**(iii)** B υ C = {3, 4, 5, 6, 7, 8}

**(iv)** B υ D = {3, 4, 5, 6, 7, 8, 9, 10}

**(v)** A υ B υ C = {1, 2, 3, 4, 5, 6, 7, 8}

**(vi)** A υ B υ D = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

**(vii)** B υ C υ D = {3, 4, 5, 6, 7, 8, 9, 10}

### NCERT Solutions Class 11 Maths Chapter 1 Exercise 1.4 Question 4

## If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8} and D = {7, 8, 9, 10}; find (i) A υ B (ii) A υ C (iii) B υ C (iv) B υ D (v) A υ B υ C (vi) A υ B υ D (vii) B υ C υ D

**Summary:**

It is given that A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8} and D = {7, 8, 9, 10}. We found that

**(i)** A υ B = {1, 2, 3, 4, 5, 6}

**(ii)** A υ C = {1, 2, 3, 4, 5, 6, 7, 8}

**(iii)** B υ C = {3, 4, 5, 6, 7, 8}

**(iv)** B υ D = {3, 4, 5, 6, 7, 8, 9, 10}

**(v)** A υ B υ C = {1, 2, 3, 4, 5, 6, 7, 8}

**(vi)** A υ B υ D = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

**(vii)** B υ C υ D = {3, 4, 5, 6, 7, 8, 9, 10}