# Example 11

Last updated at Dec. 8, 2016 by Teachoo

Last updated at Dec. 8, 2016 by Teachoo

Transcript

Example 11 Let A, B and C be three sets. If A ∈ B and B ⊂ C, is it true thatA ⊂ 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.

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Example 11 You are here

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About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He provides courses for Mathematics from Class 9 to 12. You can ask questions here.