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}