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Mathematics: Union, Intersection, and Complements

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1. Match the word and definition or symbol.

____ A. Union 1. {}
____ B. Intersection 2. A' U B'
____ C. Complement 3. '
____ D. Empty Set 4. A' ∩ B'
____ E. (A ∩ B)' 5. ∩
____ F. (A U B)' 6. U

2. Two sets are disjoint if their intersection is a null set.

If set A = {1,2,3,4,5,6}, set B = {2,3,4,5,8,9} and the Universal set = {1,2,3,4,5,6,7,8,9,10}, then answer the following:

3. A ∩ B = {2, 3, 4, 5}

4. A U B = {1, 2, 3, 4, 5, 6, 8, 9}

5. A' = {7, 8, 9, 10}

6. A' ∩ B' = {7, 10}

7. |A| = 6

8. What is the complement of the Universal Set = { } (Please see the attachment)

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Unions, intersections and complements are examined. Complete, neat and step-by-step solutions are provided in the attached file.

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1. Match the word and definition or symbol.

____ A. Union 1. {}
____ B. Intersection 2. A' U B'
____ C. Complement 3. '
____ D. Empty ...

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