Example 11 - Let A, B and C be three sets. If A belongs to B - Examples

Slide5.PNG

  1. Chapter 1 Class 11 Sets
  2. Serial order wise
Ask Download

Transcript

Example 11 Let A, B and C be three sets. If A B and B C, is it true that A C ?. If not, give an example. Given:- A,B,C are three sets A B and B C To show :- A C or not ? Proof :- We will prove this with the help of an example. Let A = {1} B = {{1}, 2, 3} C = {{1}, 2, 3, 4, 5} Here, A B as set A is an element of set B. Also, B C as C contains all elements of B But, A C because 1 A but 1 C.

About the Author

Davneet Singh's photo - Teacher, Computer Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.