# Find the union and intersection of sets. Find each intersection or union given. A={0,2,4,6,10,12} B={0,3,6,12,15} C={1,2,3,4,5,6,7} A.) AUC B.) B intersect of C C.) A intersect(BUC) D.) BU(AUC) Answer?

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by nexuss5

## Answers

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}