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

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  1. Chapter 1 Class 11 Sets
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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.

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