Misc 2 (v) - Chapter 1 Class 11 Sets

Last updated at April 16, 2024 by

Misc 2 - Chapter 1 Class 11 Sets - Part 11

Misc 2 - Chapter 1 Class 11 Sets - Part 12

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 . (v) If x ∈ A and A ⊄ B, then x ∈ B Let A = {3, 5, 7} Since 5 is an element of set , Let x = 5 , 5 ∈ A. Since, A ⊄ B ,all elements of set A should not be an element of set B Hence, taking B = {0, 2} We have to prove that x ∈ B ∈ - (belongs to) element in set 2 ∈ A if 2 is in set A ⊂ - is a subset A ⊂ B if all elements of A are in B But, 5 ∉ A as 5 is not element of C But x ∉ 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 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.