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If A = {5, 6, 7}, B = {6, 7, 8, 9} find A – (A – B) and A ∩ B. What is your observation?

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If A = {5, 6, 7}, B = {6, 7, 8, 9} find A – (A – B) and A ∩ B. What is your observation?

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A = {5, 7}, B = {6, 7, 8, 9} 

A – B = {5, 6, 7} – {6, 7, 8, 9} 

= {5, 6, 7, 8, 9} = {5} 

A – (A – B) = {5, 6, 7} – {5} = {6, 7} 

A ∩ B – {5, 6, 7} ∩ {6, 7, 8, 9} = {6, 7} 

We observe that A – (A – B) = A ∩ B.

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