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Misc 2 - Chapter 1 Class 11 Sets - Part 3

Misc 2 - Chapter 1 Class 11 Sets - Part 4

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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 (ii) If A ⊂ B and B ∈ C, then A ∈ C Let A = {2}, Since, A ⊂ B ,element of set A i.e. 2 should be an element of set B Hence, taking B = {0,2} Also, B ∈ C, i.e. whole set B is an element of set C Taking C = {1,{0,2},3} ⊂ - is a subset A ⊂ B if all elements of A are in B ∈ - (belongs to) element in set We have to prove that A ∈ C But, {2} ∉ C As {2} is not element of C ⇒ Hence A ∉ C So, given Statement is False

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.