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Complement, Union and Intersection of sets

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1. Describe (in words) two different sets of people containing you as a member. Describe (in words) the complement of each set. Describe what people are not in either the original set or the complement set.

2. Using the same two sets you described in problem 2, describe (in words) the new set formed by joining the two sets together. Is the new set called the union of the original sets, the intersection of the original sets, or neither? Explain.

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1. Describe (in words) two different sets of people containing you as a member. Describe (in words) the complement of each set. Describe what people are not in either the original set or the complement set.
Solution:
Let universal set U be the set of all members who like to participate in any sport activity.
U = {Me, John, Jerry, Melissa, Trammy, Kim, Tim, Troy, Sandy, Mike, Kate, Truc, Catherine, Sam, Paul, Peter}
I like to play tennis and badminton both. I have included myself as "Me" in both the sets.
Let T be the set of people who like to play tennis.
T = {Me, John, Jerry, ...

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