1.

A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}; B = {2, 3, 5, 7}. Find A ∩ B and show that A ∩ B = B. 

Answer»

Given sets 

A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and B = {2, 3, 5, 7} 

A ∩ B = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} 

∩ {2, 3, 5, 7} = {2, 3, 5, 7} = B 

∴ A ∩ B = B



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