English

If a = {1, 2, 3, 4, 5}, B = {4, 5, 6, 7, 8}, C = {7, 8, 9, 10, 11} and D = {10, 11, 12, 13, 14}, Find: ( a ∩ B ) ∩ ( B ∩ C )

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Question

If A = {1, 2, 3, 4, 5}, B = {4, 5, 6, 7, 8}, C = {7, 8, 9, 10, 11} and D = {10, 11, 12, 13, 14}, find: 

\[\left( A \cap B \right) \cap \left( B \cap C \right)\]

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Solution

Given:
A = {1, 2, 3, 4, 5}, B = {4, 5, 6, 7, 8}, C = {7, 8, 9, 10, 11} and D = {10, 11, 12, 13, 14} 

\[\left( A \cap B \right) \cap \left( B \cap C \right)\]=\[\phi\]

 

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Chapter 1: Sets - Exercise 1.05 [Page 21]

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R.D. Sharma Mathematics [English] Class 11
Chapter 1 Sets
Exercise 1.05 | Q 2.09 | Page 21

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