1.

If A = {1, 2, 3, 4}; B = {1, 2, 3, 4, 5, 6, 7, 8}, then find A ∪ B, A ∩ B. What do you notice about the result?

Answer»

Given sets are 

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

A ∪ B = {1, 2, 3, 4} ∪ {1, 2, 3, 4, 5, 6, 7, 8} = {1, 2, 3, 4, 5, 6, 7, 8} = B 

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

If A ⊂ B, then A ∪ B = B and A ∩ B = A



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