Universal Set

Chapter 1 Class 11 Sets
Concept wise

### Transcript

Ex 1.3, 8 Given the sets A = {1, 3, 5}, B = {2, 4, 6} and C = {0, 2,4, 6, 8}, which of the following may be considered as universals set(s) for all the three sets A, B and C (i) {0, 1, 2, 3, 4, 5, 6} Elements of A + B + C = {1, 3, 5, 2, 4, 6, 0, 8} The given set does not contain 8, So it cannot be universal set for A, B and C. Ex 1.3, 8 Given the sets A = {1, 3, 5}, B = {2, 4, 6} and C = {0, 2,4, 6, 8}, which of the following may be considered as universals set (s) for all the three sets A, B and C (ii) ϕ Elements of A + B + C = { 1,3,5,2,4,6,0,8} ϕ does not contain any element, So it cannot be universal set for A,B and C. Ex 1.3, 8 Given the sets A = {1, 3, 5}, B = {2, 4, 6} and C = {0, 2,4, 6, 8}, which of the following may be considered as universals se (s) for all the three sets A, B and C (iii) {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} Elements of A + B + C = { 1, 3, 5, 2, 4, 6, 0, 8} This set contains all elements, So it can be universal set for A,B and C. Ex 1.3, 8 Given the sets A = {1, 3, 5}, B = {2, 4, 6} and C = {0, 2,4, 6, 8}, which of the following may be considered as universals se (s) for all the three sets A, B and C (iv) {1, 2, 3, 4, 5, 6, 7, 8} Elements of A + B + C = {1, 3, 5, 2, 4, 6, 0, 8} The given set does not contain 0, So, it cannot be universal set for A,B and C.

#### Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.