Misc 10 - Show that A B = A C need not imply B = C - Chapter 1 - Miscellaneous

  1. Chapter 1 Class 11 Sets
  2. Serial order wise
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Misc 10, Show that A B = A C need not imply B = C. We have to prove false, so we take a example It is given that A B = A C i.e. Common element in set A & B = Common element in set A & C Let A = {0, 1}, B = {0, 2, 3}, and C = {0, 4, 5} A B = {0} and A C = {0} Here, A B = A C = {0} But B C as 2 is in set B, but not in A Hence proved

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.