Example 22 - Chapter 1 Class 11 Sets
Last updated at May 29, 2018 by Teachoo
Transcript
Example 22, Let U = {1, 2, 3, 4, 5, 6}, A = {2, 3} and B = {3, 4, 5}. Find A , B , A B , A B and hence show that (A B) = A B . A = U A = {1, 2, 3, 4, 5, 6} {2, 3} = {1, 4, 5, 6}, B = U B = {1, 2, 3, 4, 5, 6} {3, 4, 5} = {1, 2, 6}. Now, A B = {1, 4, 5, 6} {1, 2, 6} = { 1, 6 } Also, A B = {2, 3} {3, 4, 5} = { 2, 3, 4, 5 } Now, we need to prove (A B) = A B (A B) = U (A B ) = {1, 2, 3, 4, 5, 6} {2, 3, 4, 5} = {1, 6} Now, A B = {1, 6} & (A B) = {1, 6} Thus, (A B) = A B Hence proved
Examples
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Example 21
Example 22 You are here
Example 23
Example 24
Example 25
Example 26
Example 27
Example 28
Example 29
Example 30
Example 31
Example 32
Example 33
Example 34
Chapter 1 Class 11 Sets
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About the Author
Davneet Singh
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.