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Misc 2 - True or false (i) If x A, A belongs B, then x - Sets

Misc 2 - Chapter 1 Class 11 Sets - Part 2

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Misc 2 In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example . (i) If x ∈ A and A ∈ B, then x ∈ B Let A = {1, 2} Since 1 is an element of set , Let x = 1 , 1 ∈ {1,2} . Also, A ∈ B, i.e. whole set A is an element of set B Taking B = { {1, 2}, 3,4,5} We have to prove that x ∈ B ⊂ - is a subset A ⊂ B if all elements of A are in B ∈ - (belongs to) element in set But 1 ∉ { {1, 2}, 3, 4, 5} , i.e. 1 is not element of set B So, given Statement is False

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.