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Transcript

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

  1. Chapter 1 Class 11 Sets
  2. Serial order wise

About the Author

Davneet Singh

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