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Misc 2 - Chapter 1 Class 11 Sets - Part 9

Misc 2 - Chapter 1 Class 11 Sets - Part 10

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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 . (iv) If A ⊄ B and B ⊄ C, then A ⊄ C Let A = {1, 2}, Since, A ⊄ B ,all elements of set A should not be an element of set B Hence, taking B = {0, 6, 8} Also, B ⊄ C ,all elements of set B should not be an element of set C Taking C = {0, 1, 2, 6, 9} ⊂ - is a subset A ⊂ B if all elements of A are in B We have to prove that A ⊄ C , i.e. all elements of set A should not be an element of set C But all elements of set A (i.e. 1 &2) are in set C So, A is a subset of C i.e. 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 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.