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, ...

Solution Summary

A step by step solution is provided to explain the concepts.

Set Definitions with Unions and Intersections. ... a. Set b. Subset c. Proper Subset d. Complement of a set e. Union of a set f. Intersection of a set. ...

... A - C). It also proved that Complement of (B union C) = (Complement of B) intersection (Complement of C), where A is assumed to be the universal set. ...

... in both the sets A and B . The union of two ...Intersection of two sets (∩) : The intersection of two sets A and ...Complement of a Set: Let U be the universal set...

... in both the sets A and B . The union of two ...Intersection of two sets (∩) : The intersection of two sets A and ...Complement of a Set: Let U be the universal set...

... on the real line, then A′ is not a finite unions of closed ... are in both the sets A and B . The union of two ...Complement of a Set: Let U be the universal set. ...

... on the real line, then A′ is not a finite unions of closed ... are in both the sets A and B . The union of two ...Complement of a Set: Let U be the universal set. ...

... in both the sets A and B . The union of two ...Intersection of two sets (∩) : The intersection of two sets A and ...Complement of a Set: Let U be the universal set...

Sets, Complements and Probability. ... 13,16,19) Set y= (1,2,5,13,19) a. what is the union of sets... let set 2 = (w,x,y,z) a. what is the complement of set 2 in set 1 ...

... in both the sets A and B . The union of two ...Intersection of two sets (∩) : The intersection of two sets A and ...Complement of a Set: Let U be the universal set...