Example 11 - Chapter 1 Class 11 Sets
Last updated at Dec. 16, 2024 by Teachoo
Last updated at Dec. 16, 2024 by Teachoo
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 ⊂ A 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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About the Author
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 and Computer Science at Teachoo