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2016-04-17T16:15:12+08:00

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The union (∪) of sets is simply the combination of the two sets while the intersection (∩) two sets consists of the common terms of the two.

A) A ∪ C = {0,2,4,6,10,12} ∪ {1,2,3,4,5,6,7}
               = {0,2,4,6,10,12,1,2,3,4,5,6,7} A term should only appear once
               = {0,1,2,3,4,5,6,7,10,12}

B) B 
∩ C = {0,3,6,12,15} ∩ {1,2,3,4,5,6,7}
               = {3,6}

C) A 
∩ (B ∪ C) = {0,2,4,6,10,12} ∩ [{0,3,6,12,15} ∪ {1,2,3,4,5,6,7}]
                        = {0,2,4,6,10,12} ∩ {0,1,2,3,4,5,6,7,12,15}
                        = {0,2,4,6,12}

D) B 
∪ (A ∪ C) = {0,3,6,12,15} ∪ [{0,2,4,6,10,12} ∪ {1,2,3,4,5,6,7}]
                        = {0,3,6,12,15} ∪ {0,1,2,3,4,5,6,7,10,12}
                        = {0,1,2,3,4,5,6,7,10,12,15}


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